{"results":"
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\nAP Calculus AB\n

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\n\nFor Students\n\n11th - 12th\n
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\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n
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\n\n40\nItems in Unit\n\n
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\nAP Calculus AB Unit 3: Differentiation - Composite, Implicit, and Inverse Functions\n

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\nThe seven lessons in Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions have AP Calculus learners watch videos and complete practice problems covering key concepts. Scholars learn when to apply the Chain Rule and how to...\n
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\n\n73\nItems in Unit\n\n
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\nAP Calculus AB Unit 6: Integration and Accumulation of Change\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nThe 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...\n
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\nAP Calculus AB Unit 4: Contextual Applications of Differentiation\n

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\nThe eight lessons in AP Calculus AB Unit 4 focus on the contextual applications of differentiation. Each lesson includes an overview, an instructional video, practice problems, and solutions. Scholars first review the connection between...\n
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\n\n64\nItems in Unit\n\n
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\nAP Calculus AB Unit 2: Differentiation - Definition and Fundamental Properties\n

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\n\nFor Students\n\n11th - 12th\n
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\nThe eleven lessons in Unit 2 of the flipped math calculus course take up the definition and fundamental differentiation properties. Lessons include teaching scholars how to use their knowledge of the formula to find the average rate of...\n
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\n\n31\nItems in Topic\n\n
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\n\"Krista\n\n
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\nKrista King Math: Derivatives\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nEverything calculus scholars need to know about derivatives can be found in this 31-resource playlist. The collection defines the derivative and includes derivative rules, chain rule, derivatives of trig functions, derivatives of...\n
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\n\n38\nItems in Assessment Set\n\n
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\n\"Balanced\n\n
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\nLesson Planet Curated\n
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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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Instructional Video8:07
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\n\"Equation\n\n
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\nKhan Academy\n
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\nEquation of a Tangent Line, Taking Derivatives, Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUsing a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...\n
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Instructional Video9:50
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\n\"Power\n\n
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\nKhan Academy\n
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\nPower Rule Introduction (Old) Taking derivatives, Differential Calculus\n

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\nThis video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, \"Calculus Derivatives 2Ó and...\n
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Instructional Video8:49
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\n\"Product\n\n
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\nProduct Rule, Taking Derivatives, Differential Calculus\n

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\nSal defines the product rule and then shows two examples of its use. He then shows an example of finding the derivative using the chain and product rules together.\n
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eBook
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\n\"Introduction\n\n
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\nOld Dominion University\n
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\nIntroduction to Calculus\n

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\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
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\nThis heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...\n
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Instructional Video10:24
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\nImplicit Differentiation Completely Explained!\n

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\nExplicitly explain how to use implicit differentiation. Using a trigonometric function defined using y and x, the resource works through an example of implicit differentiation to explain the process. The 19th video in a 31-part series...\n
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Instructional Video6:54
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\nHow to Use Logarithmic Differentiation to Find the Derivative\n

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\nUse the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....\n
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Instructional Video5:21
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\nPower Rule for Derivatives\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFind shortcuts to finding derivatives. The resource introduces the power rule for finding the derivatives of polynomial functions. The fourth video in a series of 31 starts by applying the rule to monomials and then shows how to combine...\n
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Instructional Video5:39
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1
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\n\"Chain\n\n
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\nKrista King Math\n
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\nChain Rule for Derivatives, with Trig Functions\n

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\nBreak the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...\n
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Instructional Video9:44
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\n\"Introduction\n\n
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\nIntroduction to Rate-of-Change Problems\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal solves an example for finding the rate of change of the height of water in a cone at a specific point when it is being filled at a given rate. In this video, Sal reviews the volume of a cone and the chain rule and then, uses these to...\n
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PPT
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\n\"Calculus\n\n
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\nCurated OER\n
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\nCalculus 3.6 - The Chain Rule\n

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\nGreg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...\n
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Instructional Video4:40
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\n\"Proof:\n\n
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\nKhan Academy\n
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\nProof: d/dx(e^x) = e6x\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUsing the derivative of ln x, the chain rule, and the definition of a limit, Sal shows proof that the derivative of ex = ex. Note: The video titled \"Proof of Derivatives of Ln(x) and e^x,Ó clearly explains this proof.\n
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Instructional Video2:15
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\n\"The\n\n
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\nBrightstorm\n
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\nThe Product Rule\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nYou'd think that the derivative of a product of two functions would be the product of their derivatives, but that's not the case! Viewers learn the Product Rule for differentiation in the concept video in the first installment of a...\n
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Interactive
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\n\"Constant,\n\n
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\nCK-12 Foundation\n
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\nConstant, Identity, and Power Rules: Power Rule\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nLearn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...\n
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Instructional Video17:05
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\n\"Essence\n\n
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\nEssence of Calculus, Chapter 1\n

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\nDive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...\n
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Instructional Video7:23
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1
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\nProduct Rule - 3+ functions\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nWill the product rule work for more than two functions? The sixth video in a series of 31 provides a function that is the product of three other functions. Making connections to the product rule with two functions, the presenter shows...\n
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Handout
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\n\"Math\n\n
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\nMath Handbook: Calculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nIf only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...\n
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AP Test Prep14:07
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1
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\nCalculus AB/BC - Differentiating Inverse Trigonometric Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nDifferentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...\n
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