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Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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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Question
Find the derivative. y= (x²+x)-³ O A. dy 3x5 (2-x³) = dx (1+x³) ³ B. O C. dy 3x4 (2-x³) = dx (1+x³)3 3x5 (2-x³) (1+x³)4 D. dy 3x4 (2-x³) dy dx =
Transcribed Image Text:Find the derivative. y= (x²+x)-³ O A. dy 3x5 (2-x³) = dx (1+x³) ³ B. O C. dy 3x4 (2-x³) = dx (1+x³)3 3x5 (2-x³) (1+x³)4 D. dy 3x4 (2-x³) dy dx =
Expert Solution
Step 1: Chain rule of derivative

fraction numerator d over denominator d x end fraction open parentheses f open parentheses g open parentheses x close parentheses close parentheses close parentheses equals open parentheses f apostrophe open parentheses g open parentheses x close parentheses close parentheses close parentheses fraction numerator d over denominator d x end fraction g open parentheses x close parentheses

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