Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x)=x²(x²-5) Which of the following shows the result of using the product rule? O A. f'(x)=(x4) (x²-5)'-(x²-5) (x*)'

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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Find f'(x) in two ways: (1) using the product rule and (2) simplifying first.
f(x)=x²(x² - 5)
Which of the following shows the result of using the product rule?
O A. f(x) = (x4) (x7-5) - (x7²-5) (x²)'
B. f'(x)=(x) (x7-5)+(x²-5) (x4)'
O c. f'(x)= (x^) (x¹)' + (x²-5) (x²-5)'
○ D. f'(x)=(x*)'(x²-5)'
O E. f'(x)= (x¹)+(x²-5)'
O F. f'(x)= (x¹)(x²-5)'(x²-5) (x¹)'
Simplify f(x) completely.
f(x)= x¹¹ -5x4
x11
Using either method, f'(x) =
Transcribed Image Text:Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x)=x²(x² - 5) Which of the following shows the result of using the product rule? O A. f(x) = (x4) (x7-5) - (x7²-5) (x²)' B. f'(x)=(x) (x7-5)+(x²-5) (x4)' O c. f'(x)= (x^) (x¹)' + (x²-5) (x²-5)' ○ D. f'(x)=(x*)'(x²-5)' O E. f'(x)= (x¹)+(x²-5)' O F. f'(x)= (x¹)(x²-5)'(x²-5) (x¹)' Simplify f(x) completely. f(x)= x¹¹ -5x4 x11 Using either method, f'(x) =
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