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2.6 Chain Rule Score: 12/15 Answered: 13/15 • Question 14 Differentiate $f(x) = 8^{-9x+7}$ $f'(x) =$ Question Help: Video Submit Question

Name: 26 chain rule score 1215 answered 1315 question 14 differentiate fx 8 9x7 fx question help video submit question 26345
Uploaded: 2023-07-22T17:46:23-08:00
Duration: 1 min 36 s
Channel: Bradley Duda
Description: 26 chain rule score 1215 answered 1315 question 14 differentiate fx 8 9x7 fx question help video submit question 26345

          2.6 Chain Rule
Score: 12/15 Answered: 13/15
• Question 14
Differentiate $f(x) = 8^{-9x+7}$
$f'(x) =$
Question Help: Video
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Added by Brittany S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Bradley Duda

07/22/2023

Step 1

We will use the chain rule. Let $u = -9x+7$. Then $f(x) = 8^u$. The derivative of $8^u$ with respect to $u$ is $8^u \ln(8)$. The derivative of $u = -9x+7$ with respect to $x$ is $-9$. Show more…

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