JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f

and

g

be differentiable functions and

f^{\prime}(x)=2 g(x)

and

g(x)=-f(x)

and let

T(x)=(f(x))^2-(g(x))^2 \quad T^{\prime}(x)=

View answer and explanation

Correct option: D

6 f(x) g(x)

Option D (

6 f(x) g(x)

) is correct because it is the result of differentiating

T(x)

using the product rule and substituting the given derivatives of

f(x)

and

g(x)

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x

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