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# Solved: Derivative calculations Evaluate the derivative of ISBN: 9780321570567 2

## Solution for problem 36E Chapter 3.1

Calculus: Early Transcendentals | 1st Edition

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Problem 36E

Derivative calculations? ?Evaluate the derivative of the following functions at the given point. ? ? ? y ? t? ? ?t2; ? = 2

Step-by-Step Solution:
Step 1 of 3

SOLUTION STEP 1 n n1 If f(x) = x then f (x) =nx 2 Here we have, f(x) = y = t t We need to find dy at the point t = 2,ie, dy dt dt t=2 dy dt = 1 2t Now, dy at the point t = 2,ie, dy = 1 2 × 2 = 1 4 = 3 dt dt t=2 dy Thus we get , dt t=2= 3

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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Solved: Derivative calculations Evaluate the derivative of