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Curated OER
The Chain Rule and an Interesting Derivative
In this calculus worksheet, students use the chain rule to derive functions. They use function notations correctly as they solve word problems using the derivative. There are 3 questions.
Curated OER
Complex Analysis: Function
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
Curated OER
One-to-One Functions; Inverses
For this functions worksheet, students determine whether or a function is one-to-one. If it is one-to-one, then they find the inverse.
Curated OER
Test on Limits and Continuity
Students review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...
Curated OER
Newton's Theory of Universal Gravitation
Students explore how Newton tied together the gravity observed on Earth and the motion of the Moon. They apply an earlier lesson about centripetal forces.
EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson plan has scholars use...
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
Curated OER
#3 Differential Calculus
Young scholars create models of the Mean Value Theorem. In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem. They illustrate the meaning of the...
Curated OER
Taylor and Maclaurin Series
In this Taylor and Maclaurin series activity, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
Curated OER
Review for Test
Twelfth graders review logs and derivatives in preparation for their test. In this calculus lesson plan, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove...
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
Curated OER
Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Curated OER
Computing Indefinite Integrals
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Curated OER
AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
Curated OER
Kepler's 3rd Law
Students derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
Curated OER
Kepler's Third Law
Learners use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.
Curated OER
Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
Analyze Math
Analyze Math: Derivative of Inverse Function
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Duke University
Duke University: Inverse Functions
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
Math Medics
S.o.s. Math: The Derivative
Very nice lesson on taking the derivative of a function and its inverse.
Other
Karl's Calculus Tutor: Derivative of Inv. Trig Functions
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Lawrence Hall of Science
The Math Page: An Approach to Calculus: More Rules for Derivatives
Here is a site that clearly and thoroughly explains the quotient rule, implicit differentiation, and derivatives of inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student...