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(x) f'(x) g'(x) f"(x) 1 2 0 1 X). -1 3 -2 4 4 -2 3 2 3 ). pe of y(x) at x = 0. -4 1 2 -9 ave a horizontal tangent at x = 0? No

(x) f'(x) g'(x) f"(x) 1 2 0 1 X). -1 3 -2 4 4 -2 3 2 3 ). pe of y(x) at x = 0. -4 1 2 -9 ave a horizontal tangent at x = 0? No

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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X f(x) g(x) f'(x) g'(x) f"(x) 0 1 2 3 -2 3 1 2 1 2 (a) Let p(x) = f(x)g(x). = 0 1 v "(0) : (b) Let y(x) = f(g(x)). = (c) Let v(x) = (f(x))². -1 3 -2 4 Find the value of v "(0). -6 4 -2 Find p '(0) -9 Does p(x) have a horizontal tangent at x = 0? No 3 2 X Find the slope of y(x) at x = 0. y '(0) = 12 Find the equation of the tangent line y(x) at x = 0. Use y for the dependent variable. 3 -4 (d) Let_r(x) = g(x) x3 Find the exact value of r '(1). r'(1) = -12 1 2 X Is v(x) concave up or concave down at x = 0? ---Select---
Transcribed Image Text:X f(x) g(x) f'(x) g'(x) f"(x) 0 1 2 3 -2 3 1 2 1 2 (a) Let p(x) = f(x)g(x). = 0 1 v "(0) : (b) Let y(x) = f(g(x)). = (c) Let v(x) = (f(x))². -1 3 -2 4 Find the value of v "(0). -6 4 -2 Find p '(0) -9 Does p(x) have a horizontal tangent at x = 0? No 3 2 X Find the slope of y(x) at x = 0. y '(0) = 12 Find the equation of the tangent line y(x) at x = 0. Use y for the dependent variable. 3 -4 (d) Let_r(x) = g(x) x3 Find the exact value of r '(1). r'(1) = -12 1 2 X Is v(x) concave up or concave down at x = 0? ---Select---
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