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z(x) 1+x² You need to find the formula for y'(x) first, then evaluate y'(x) at x = (c) Let y(x) = = and z(−3) = 6, z′(−3) = 15. Find y'(-3). Remember: -3.

z(x) 1+x² You need to find the formula for y'(x) first, then evaluate y'(x) at x = (c) Let y(x) = = and z(−3) = 6, z′(−3) = 15. Find y'(-3). Remember: -3.

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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z(x) (c) Let y(x) and z(−3) = 6, z'(-3) = 15. Find y'(-3). Remember: You need to find the formula for y'(x) first, then evaluate y'(x) at x = −3. 1+x² =
Transcribed Image Text:z(x) (c) Let y(x) and z(−3) = 6, z'(-3) = 15. Find y'(-3). Remember: You need to find the formula for y'(x) first, then evaluate y'(x) at x = −3. 1+x² =
Expert Solution
Step 1: Define the problem.

Let space straight y open parentheses straight x close parentheses equals fraction numerator straight z open parentheses straight x close parentheses over denominator 1 plus straight x squared end fraction space and space straight z open parentheses negative 3 close parentheses equals 6 comma space straight z apostrophe open parentheses negative 3 close parentheses equals 15. To space find space straight y apostrophe open parentheses negative 3 close parentheses.


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