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(a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g(x)h(x) + f(x)g(x)h'(x) You do not need to submit your proof. (b) Use the formula in (a) to find the derivative of 15 F(x) = e² VF) (2,²0 + −10) x30 F'(x) = -10 + Hint: You may use (e)' (e)' Type e^x for e* and sqrt(x) for √√T. = e directly here.

(a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g(x)h(x) + f(x)g(x)h'(x) You do not need to submit your proof. (b) Use the formula in (a) to find the derivative of 15 F(x) = e² VF) (2,²0 + −10) x30 F'(x) = -10 + Hint: You may use (e)' (e)' Type e^x for e* and sqrt(x) for √√T. = e directly here.

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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(a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g'(x)h(x) + f(x)g(x)h'(x) You do not need to submit your proof. (b) Use the formula in (a) to find the derivative of 15 F(x) = e² - ( ²10 + √₂) (2²³⁰0 + −120) 30 X F'(x) = X6 Hint: You may use (e²)' = (e)' = e directly here. Type e^x for e* and sqrt(x) for √√T.
Transcribed Image Text:(a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g'(x)h(x) + f(x)g(x)h'(x) You do not need to submit your proof. (b) Use the formula in (a) to find the derivative of 15 F(x) = e² - ( ²10 + √₂) (2²³⁰0 + −120) 30 X F'(x) = X6 Hint: You may use (e²)' = (e)' = e directly here. Type e^x for e* and sqrt(x) for √√T.
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