Inverse functions and their derivatives

    • Advanced Placement Calculus Course Description

      Logarithmic and Exponential Functions. Inverse functions. Derivatives and integrals. Exponential growth and decay and other applications. L’Hopital’s Rule. The inverse trigonometric functions and their derivatives and integrals. Integration by Parts. First Order Separable differential equations . Applications of the Integral. Area.

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    • [DOC File]AP Calculus Assignments: Derivative Techniques

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      1. The functions f and g are differentiable for 1 ( x ( 4. The values of the functions and their derivatives at selected points are given in the table below. a. Evaluate . b. Evaluate . c. Evaluate . d. Write an equation for the line tangent to the graph of g at x = 1. e. Estimate g"(2.) 2. The graphs of f and g are shown at right. Use them to ...

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    • [DOC File]AAIT CIVIL ENG LECTUR NOTES

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      Functions, inverse hyperbolic functions. and their derivatives, the . L’Hopital’s rules. and some of the applications of these inverse functions in integrating some special types of integrals. 3.1 Basic Ideas. Before we discuss on the conditions for the existence of an inverse functions, we state the definition of a function and explore ...

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    • [DOC File]AP Calculus AB

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      The activity is designed to encourage communication between students as they compare and contrast the different functions and their derivatives. 4. F, F’, F” Around the World Game- Each desk has a set of cards relating to the First Derivative Test, Test for Concavity, and the Second Derivative Test.

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    • [DOC File]Inverse Functions

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      9.5 Derivatives and Integrals Involving Inverse Trigonometric Functions. Learning Objectives. A student will be able to: Learn the basic properties inverse trigonometric functions. Learn how to use the derivative formula to use them to find derivatives of inverse trigonometric functions.

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    • [DOC File]AP CALCULUS AB - Grove City Area School District

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      Derivatives of Inverse Trigonometric Functions. We learned the inverse trigonometric functions last year, and now we need to learn their derivatives. Derivatives of Inverse Trigonometric Functions. Note: In some texts and disciplines, is referred to as . This would be true for all of the inverse trigonometric functions as well.

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