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If y = x sin x, finddydx

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Question 36
A

cos x - x sin x

B

cos x + x sin x

C

sin x + x cos x

D

sin x - cos x.

Explanation

y = xsin(x)

This is a function which is in the form,

y = f(x)g(x)

It's the product of two functions and so we must make use of the product rule. This is a simple formula which you have to remember:

dy/dx = f'(x)g(x) + f(x)g'(x)


f(x) = x

g(x) = sin(x)

Therefore;

f'(x) = 1

g'(x) = cos(x)

and 

dy/dx = sin(x) + xcos(x).


Correct option: C

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1 Comment(s)

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Taiwo Tijesuni said on February 9, 2021 09:38am
I think the answer is wrong in this question
QUIZZERWEB replied on February 12, 2021 06:52pm
The question has been updated
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