Inverse functions and derivatives

    • [DOC File]Derivatives of Inverse Functions

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      Derivatives of Inverse Functions. Discovery Activity. 1. Given . (a) Graph . Is f a one-to-one function? (Why does it matter?) (b) The point (1, 7) lies on f. Write this point in. function notation: (c) Find. (d) Evaluate at the point (1, 7). (e) Find and graph it. (f) Is a one-to-one function? ...

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    • [DOC File]DERIVATIVES OF INVERSE FUNCTIONS GIFT 2004

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      DERIVATIVES OF INVERSE FUNCTIONS GIFT 2004. 1. Let and let denote the inverse of . Then is equal to: 2. Let and let denote the inverse of . Then is equal to: 3. Let Find the value of at x = 2. 4. Let and let denote the inverse of . Then is equal to: 5. If and , then calculate: 6. If then . C 2004 Reardon Inverse Gifts, Inc. ...

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    • [DOC File]AP CALCULUS AB

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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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    • [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]Calculus II - Illinois State University

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      Derivatives and Integrals Involving Inverse Trig Functions As part of a first course in Calculus, you may or may not have learned about derivatives and integrals of inverse trigonometric functions. These notes are intended to review these concepts as we come to …

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    • [DOC File]First exam practice sheet - Austin Community College District

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      You should know how to find all derivatives we have covered, including all trigonometric functions, natural log, and the inverse sine and inverse tangent functions. Sample problems. Find the derivatives if . if Use implicit differentiation to find an equation of the tangent line to the curve at the point

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    • [DOC File]Week /Date

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      1: Aug 24-28 7.1 Inverse Functions. 7.2 Exponential Functions and their Derivatives. 7.3 Logarithmic Functions 385. 392 405 3-17 odd, 23-41 odd

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    • [DOC File]Derivatives of Inverse Functions – Notes

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      Derivatives of Inverse Functions – Notes (2) 3. Given with , (a) Find . and . and then we’ll use: to get: (b) Use implicit differentiation to find . To find the inverse function for y = Tan x, we exchange the ‘x’ and the ‘y’ to get: and then we take the derivative w.r.t. ‘x’ to get: and then we use the rt trig trick: 4.

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    • [DOC File]Derivatives of Inverse Functions - Robert Rogers

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      Derivatives of Inverse Functions. Discovery Activity. 1. Given . (a) Graph . Is f a one-to-one function? (Why does it matter?) (b) The point (1, 7) lies on f. Write this point in. function notation: (c) Find. (d) Evaluate at the point (1, 7). (e) Find and graph it. (f) Is a one-to-one function? ...

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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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