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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.6 - Problem 36ae
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.6 - Problem 36ae

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# 2 2 Equal derivatives Verify that the functions f(x) = sin

ISBN: 9780321570567 2

## Solution for problem 36AE Chapter 4.6

Calculus: Early Transcendentals | 1st Edition

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Problem 36AE

Verify that the functions $$f(x)=\sin ^{2} x$$ and $$g(x)=-\cos ^{2} x$$ have the same derivative. What can you say about the difference f - g? Explain.

Step-by-Step Solution:

Solution 36AE Step 1 In this problem we have to verify whether the functions f(x) = sin xand 2 g(x) = cos x have same derivative. 2 2 Given f(x) = sin xand g(x) = cos x f (x) = 2 sin x cos xand g (x) = 2 cos x (sin x) = 2sin x cos x That is f (x) = g(x) Hence f(x)and g(x)have same derivative.

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2 2 Equal derivatives Verify that the functions f(x) = sin