25 (6x + 5)³ But Do NOT use the Quotient Rule. a) Let f(x) = = f'(x) = Find f'(x). b) Let g(x) = 6 cos³ (5x5). Find g'(x). g'(x) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a) Let \( f(x) = \frac{25}{(6x + 5)^8} \). Find \( f'(x) \).

But Do NOT use the Quotient Rule.

\[ f'(x) = \]

b) Let \( g(x) = 6 \cos^8(5x^5) \). Find \( g'(x) \).

\[ g'(x) = \]
Transcribed Image Text:a) Let \( f(x) = \frac{25}{(6x + 5)^8} \). Find \( f'(x) \). But Do NOT use the Quotient Rule. \[ f'(x) = \] b) Let \( g(x) = 6 \cos^8(5x^5) \). Find \( g'(x) \). \[ g'(x) = \]
Expert Solution
Step 1

We have to find the firstd erivative of the given functions.Recall some basic formulas: ddxxn=nxn-1 ; ddxcosx=-sinx

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