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What is the derivative of f f(x) = 7 (x² + 8) - 7 (2x) (x²+8)² 2 7 (x² + 8) +7 (2x) -7 (2x) (x²+8)² 7 In (x² + 8) 7 x² +8 ?

What is the derivative of f f(x) = 7 (x² + 8) - 7 (2x) (x²+8)² 2 7 (x² + 8) +7 (2x) -7 (2x) (x²+8)² 7 In (x² + 8) 7 x² +8 ?

Calculus: Early Transcendentals
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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What is the derivative of f (x) = 7 (x² + 8) −7 (2x) (x²+8)² 07 (x²+8)+7 (2x) −7 (2x) (x²+8)² ○7ln (x²+8) 7 x² +8 ?
Transcribed Image Text:What is the derivative of f (x) = 7 (x² + 8) −7 (2x) (x²+8)² 07 (x²+8)+7 (2x) −7 (2x) (x²+8)² ○7ln (x²+8) 7 x² +8 ?
Expert Solution
Step 1: find the derivative :

Use the quotient rule of derivative to evaluate the derivative of f(x) .

fraction numerator d over denominator d x end fraction f over g equals fraction numerator g fraction numerator d over denominator d x end fraction left parenthesis f right parenthesis minus f space fraction numerator d over denominator d x end fraction g over denominator g squared end fraction

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