JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f_1(x)=e^x

and

f_{n+1}(x)=e^{f_n(x)}

for any

n \geq 1, n \in N

. Then for any fixed

n

, the value of

\frac{d}{d x} f_n(x)

equals :

View answer and explanation

Correct option: B

f_n(x) f_{n-1}(x) \ldots \ldots f_2(x) f_1(x)

Option B (

f_n(x) f_{n-1}(x) \ldots f_2(x) f_1(x)

) is correct because it is the result of repeatedly applying the chain rule.

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x

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