# How do you find the derivative of #e^(1/x) #?

##### 1 Answer

Jun 23, 2016

#### Answer:

#### Explanation:

Since the derivative of

#d/dx(e^f(x))=e^f(x)*f'(x)#

So, since the power of

Since

Thus,

#d/dx(e^(1/x))=e^(1/x)*(-1/x^2)=(-e^(1/x))/x^2#