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Derivatives of Elementary Functions
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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The Product and Quotient Rules
In this derivatives worksheet, students solve nine short answer problems by multiplying or dividing with derivatives. They answer one true/false question. Students solve five short answer questions.
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Applications of Derivatives: Concavity and Optimization
For this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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The Geometric Interpretation of Partial Derivatives
In this partial derivative worksheet, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page worksheet contains two multi-step problems.
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Implicit Differentiation
In this implicit differentiation activity, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page activity contains...
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The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative activity, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
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Applications of Derivatives: Newton's Method
For this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.
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Quiz 4: Derivative
In this derivative learning exercise, students determine the derivative of given functions. They find an equation of a line which is tangent to a given graph and identify an equation of a line which is perpendicular to the graph. This...
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Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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The Definition Derivative
For this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
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Differentiability and Linear Approximation
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
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Elementary Derivatives and Rules of Differentiation
In this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...
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Discussion Sheet 3: Limits
In this limit worksheet, students evaluate limits and use asymptotes and intercepts to sketch graphs of functions. They determine the area of inscribed shapes and use the limit definition of a derivative to differentiate functions. ...
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Composition of Functions and the Chain Rule
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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Implicit Differentiation
In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
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Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule
In this related rates problem worksheet, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page worksheet contains...
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Challenge Discussion Sheet 5
In this math worksheet, students solve for the derivative of seven functions. For three derivatives, students set up a sign chart. They solve three word (or story) problems dealing with falling items.
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Understanding the Fundamental Theorem of Calculus
In this Fundamental Theorem of Calculus worksheet, students demonstrate their understanding of the theorem by identifying the derivative and anti-derivative of given functions. This two-page worksheet contains ten problems.
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Discussion Sheet 2
In this math activity, students investigate the functions and find the derivatives. Then they examine the critical and saddle points.
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More Integral Exchange: Integration By Parts
For this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
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Math 155 - Worksheet 5. Derivative
For this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
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Calc 1 Review Problems - Function
In this review of functions activity, students find the derivative of functions, evaluate limits, determine whether functions are invertible, identify critical points and find the equation of the tangent line to a function. This...
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Multivariable Calculus: Vector Functions
For this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.
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Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives
In this math activity, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.