JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)=(a x+b) \cos x+(c x+d) \sin x

and

f^{\prime}(x)=x \cos x

for all

x.

Then,

View answer and explanation

Correct option: A

a=0, b=c=1, d=0

Option A (

a=0, b=c=1, d=0

) is correct because these values satisfy the given condition

f'(x)=x \cos x

when substituted into the derivative of

f(x)

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