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(d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5 0.25 g'(x) 0.5 -4 10 i. h(x) = f(x) g(x) Find h'(0). ii. p(x) = f(x) g(x). Find p'(1). iii. q(x) = f(g(x)). Find q'(1).

(d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5 0.25 g'(x) 0.5 -4 10 i. h(x) = f(x) g(x) Find h'(0). ii. p(x) = f(x) g(x). Find p'(1). iii. q(x) = f(g(x)). Find q'(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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(d) Use the following table to evaluate each derivative. x f(x) g(x) f'(x) g'(x) 0 -10 1 2 1 3 -2 1 -5 2 -3 5 0.5 -10 4 0.25 10 0.5 -4 (g(x) (e) The graphs of f (x) (red dashed) and g(x) (blue solid) are graphed. Let h(x) = f(x) · g(x), j(x) = f(), and k(x) = g(f(x)). Use information about f and g to evaluate the derivatives below: i. h(x) = 10 f(x) g(x) Find h'(0). ii. p(x) = f(x) · g(x). Find p' (1). iii. q(x) = f(g(x)). Find q'(1). i. Compute h'(-4). f(x). g(x) (f(x) g(x) + f '(x) g(x) (6) + ii. Compute j'(0). iii. Compute k'(-1)
Transcribed Image Text:(d) Use the following table to evaluate each derivative. x f(x) g(x) f'(x) g'(x) 0 -10 1 2 1 3 -2 1 -5 2 -3 5 0.5 -10 4 0.25 10 0.5 -4 (g(x) (e) The graphs of f (x) (red dashed) and g(x) (blue solid) are graphed. Let h(x) = f(x) · g(x), j(x) = f(), and k(x) = g(f(x)). Use information about f and g to evaluate the derivatives below: i. h(x) = 10 f(x) g(x) Find h'(0). ii. p(x) = f(x) · g(x). Find p' (1). iii. q(x) = f(g(x)). Find q'(1). i. Compute h'(-4). f(x). g(x) (f(x) g(x) + f '(x) g(x) (6) + ii. Compute j'(0). iii. Compute k'(-1)
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