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f(x+h)-f(x) For f(x) = x- + 2x, use the definition of the derivative f'(x) = lim h→0 to find f'(x). o f'(x) = 2x – 1 o f'(x) = 4x – 1 - o f'(x) = 2x – 2

f(x+h)-f(x) For f(x) = x- + 2x, use the definition of the derivative f'(x) = lim h→0 to find f'(x). o f'(x) = 2x – 1 o f'(x) = 4x – 1 - o f'(x) = 2x – 2

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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For the following graph of f(x), identify where f(x) is not differentiable and why. 4 2- -5 -4 -3 -2 -1 2 3 4 -4 O f(x) is not differentiable at x = 0 because f(x) has a jump at x = 0. f(x) is not differentiable at x = 0 because f(x) has a cusp at x = 0. %D f(x) is not differentiable at x = O because f(x) has a corner at x = 0. f(x) is not differentiable at x = O because f(x) is not defined at x = 0. 21
Transcribed Image Text:For the following graph of f(x), identify where f(x) is not differentiable and why. 4 2- -5 -4 -3 -2 -1 2 3 4 -4 O f(x) is not differentiable at x = 0 because f(x) has a jump at x = 0. f(x) is not differentiable at x = 0 because f(x) has a cusp at x = 0. %D f(x) is not differentiable at x = O because f(x) has a corner at x = 0. f(x) is not differentiable at x = O because f(x) is not defined at x = 0. 21
For f(x) = x- + 2x, use the definition of the derivative f'(x) = lim = limx+h)-f(x) to find f' (x). h h→0 o f'(x) = 2x – 1 o f'(x) = 4x – 1 o f'(x) = 2x – 2 o f'(x) = 2x + 2
Transcribed Image Text:For f(x) = x- + 2x, use the definition of the derivative f'(x) = lim = limx+h)-f(x) to find f' (x). h h→0 o f'(x) = 2x – 1 o f'(x) = 4x – 1 o f'(x) = 2x – 2 o f'(x) = 2x + 2
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