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

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Jun 23, 2016

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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#

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