Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x) = x²(x8-9) Which of the following shows the result of using the product rule? O A. f'(x) = (x³)(x²)+(x-9) (x²-9)' O B. f'(x) = (x³)(x-9) '(x²-9) (x³) OC. f'(x) = (x³)(x-9) - (x³ - 9) (x³) O D. f'(x) = (x³)(x-9)' O E. f'(x)= (x³) + (x³ -9)' OF. f'(x) = (x³)(x-9) + (x −9) (x³) -

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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Find f'(x) in two ways: (1) using the product rule and (2) simplifying first.
f(x)=x8 (x8-9)
Which of the following shows the result of using the product rule?
OA. f'(x) = (x³)(x) + (x -9) (x-9)'
O B. f'(x) = (x³)(x-9) '(x-9) (x²)'
OC. f'(x) = (x³) (x8-9)' - (x-9) (x³)
OD. f'(x) = (x³)(x® -9)'
OE. f'(x)= (x) + (x8-9)'
OF. f'(x)= (x³)(x-9)' + (x² -9) (x³)
Transcribed Image Text:Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x)=x8 (x8-9) Which of the following shows the result of using the product rule? OA. f'(x) = (x³)(x) + (x -9) (x-9)' O B. f'(x) = (x³)(x-9) '(x-9) (x²)' OC. f'(x) = (x³) (x8-9)' - (x-9) (x³) OD. f'(x) = (x³)(x® -9)' OE. f'(x)= (x) + (x8-9)' OF. f'(x)= (x³)(x-9)' + (x² -9) (x³)
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