JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f

and

g

be differentiable functions such that

f(3)=5, g(3)=7, f^{\prime}(3)=13, g^{\prime}(3)=6, f^{\prime}(7)=2

and

g^{\prime}(7)=0

. If

h(x)=(f \circ g)(x)

, then

h^{\prime}(3)

is equal to

View answer and explanation

Correct option: C

Option C (12) is correct because, by the chain rule,

h'(x) = f'(g(x)) * g'(x)

, so

h'(3) = f'(g(3)) * g'(3) = f'(7) * 6 = 2 * 6 = 12

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