Explanation Formulas used: Differentiation of the Sine and Cosine Functions: 1. d d x sin x = cos x 2. d d x cos x = − sin x Calculation: Obtain the slope of the cosine curve y = cos x at x = π 4 as follows. Note that the slope of any differentiable function at any point on the curve is the derivative of the function at that point. Differentiate the function y = cos x with respect to x . d y d x = d d x ( cos x ) = − sin

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 8, Problem 19RE

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To find: The slope of the cosine curve y=cosx at x=π4.

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Chapter 8, Problem 18RE

Chapter 8, Problem 20RE

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Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

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The slope of the cosine curve y = cos x at x = π 4 .

Solution Summary: The author explains how to obtain the slope of the cosine curve y=mathrmcosx and the derivative of it.

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To find: The slope of the cosine curve y=cosx at x=π4.

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