24 Find the derivative ofO x2cosx+2xsin xO 2xcos xO x² sin x + 2xcos xỌ x2cosxy=x²sinxM

We know that if f(x)=g(x)h(x) then f'(x)=g'(x)h(x)+g(x)h'(x)

Answered: Find the derivative of Ox²2cosx + 2xsin…

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Calculus

Find the derivative of Ox²2cosx + 2xsin x O 2xcos x O x² sin x + 2xcos x O x2cosx y=x²sinx

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

Section4.1: Techniques For Finding Derivatives

Problem 4E: Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x

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Question

Find the derivative of
O x2cosx+2xsin x
O 2xcos x
O x² sin x + 2xcos x
Ọ x2cosx
y=x²sinx
M

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Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x
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Margy and Nate are working on taking the derivative of fx=23x+14. Margy uses the quotient rule and chain rule as follows: f'x=3x+140-243x+1333x+18 f'x=-243x+133x+18=-243x+15. Nate rewrites the function and uses the power rule and chain rule as follows: fx=23x+1-4 f'x=-423x+1-53=-243x+15. Compare the two procedures. Which procedure do you think is preferable?