Use the product rule to find the derivative of the function. y=(3x²+5) (2x-5) What is the correct way of writing the derivative of y? dy d OA. (3x²+5). (2x-5) dx dx dy (3x²+5)-(2x-5) OB. = (3x² + 5) • —— (2x − 5) + (2x-5) • —— (3x²+5) O C. OD. dy dx 55 dx dy ( = (3x² +5) • (2x-5) + —| (2x-5) • —— (3x²+5) dx dx · (x²+5)-(2x-5)+(2x-5)+(3x²+5)

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 4E
Question
Use the product rule to find the derivative of the function.
y=(3x²+5) (2x-5)
What is the correct way of writing the derivative of y?
dy d
OA. (3x²+5) (2x-5)
dx
(3x²+5)•(2x-5)
= (3x² +5) • (2x-5) + (2x-5) • (3x²+5)
dy
O B.
dx
dy
O c.
dx
dy
d
( = (3x² +5) • (2x-5) + (2x-5)•(3x²+5)
○ D.
dy
dx
dx
=
則
dx
d
dx
dx
d
d
dx
- (3x² +5) • 1x (2x-5)+ + (2x-5) • (3x²+5)
dx
dx
Transcribed Image Text:Use the product rule to find the derivative of the function. y=(3x²+5) (2x-5) What is the correct way of writing the derivative of y? dy d OA. (3x²+5) (2x-5) dx (3x²+5)•(2x-5) = (3x² +5) • (2x-5) + (2x-5) • (3x²+5) dy O B. dx dy O c. dx dy d ( = (3x² +5) • (2x-5) + (2x-5)•(3x²+5) ○ D. dy dx dx = 則 dx d dx dx d d dx - (3x² +5) • 1x (2x-5)+ + (2x-5) • (3x²+5) dx dx
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