General formula for n-th derivative of e^f(x)? Let g(x)=e^f(x) where f is infinitely differentiable function. Does there exist a formula for n-th derivative g^(n) (x) where n>=0?

Amina Wilkinson

Amina Wilkinson

Answered question

2022-12-05

General formula for n-th derivative of e f ( x ) ?
Let g ( x ) = e f ( x ) where f is infinitely differentiable function. Does there exist a formula for n-th derivative g ( n ) ( x ) where n 0 ?

Answer & Explanation

Aleah Rowe

Aleah Rowe

Beginner2022-12-06Added 15 answers

Hint:
ln ( y ) = f ( x )
in order to obtain a higher derivative.

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