Find the derivative of e^{\frac{1}{x}}

William Collins

William Collins

Answered question

2021-12-09

Find the derivative of e1x

Answer & Explanation

Steve Hirano

Steve Hirano

Beginner2021-12-10Added 34 answers

Use the chain rule:
ddx(ef(x))=ef(x)×f(x)
The power of e is 1x, you should multiply e1x by the derivative of 1x
1x=x1, its derivative is x2=1x2
ddx(e1x)=e1x×(1x2)=e12x2
SlabydouluS62

SlabydouluS62

Skilled2021-12-11Added 52 answers

ddx(e1x)
Use the Chain Rule: =e1xddx(1x)
ddx(1x)=1x2
=e1x(1x2)
Simplify
=e1xx2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?