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Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = X 0 1 2 3 f(x) || f'(x) | g(x)| g'(x) 3 1 LO 5 2 6 -3 5 -2 0 2 1 3 3 0 2 -1

Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = X 0 1 2 3 f(x) || f'(x) | g(x)| g'(x) 3 1 LO 5 2 6 -3 5 -2 0 2 1 3 3 0 2 -1

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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Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = x f(x) f'(x) g(x) g'(x) 0 1 2 3 3 1 5 2 6 -3 LO 5 -2 0 2 1 3 3 0 2 -1
Transcribed Image Text:Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = x f(x) f'(x) g(x) g'(x) 0 1 2 3 3 1 5 2 6 -3 LO 5 -2 0 2 1 3 3 0 2 -1
Consider the function y = f(x). f(x) = 8x - 1, x = -3 df (a) Find at x = -3. dx df dx = 3 (b) Find x = f¯¹(y). f-¹(y) = (c) Use part (b) to find df-1 dy = X df-1 dy at y = f(-3).
Transcribed Image Text:Consider the function y = f(x). f(x) = 8x - 1, x = -3 df (a) Find at x = -3. dx df dx = 3 (b) Find x = f¯¹(y). f-¹(y) = (c) Use part (b) to find df-1 dy = X df-1 dy at y = f(-3).
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