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What is the derivative of #e^(1/x)#?

Answer 1

William Abdalla

I found: #-e^(1/x)/x^2#

You can use the Chain Rule to deal first with #e# and then with #1/x#: #y'=e^(1/x)*(-1/x^2)=-e^(1/x)/x^2#

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Answer 2

Evelyn Agard

The derivative of ( e^{1/x} ) with respect to ( x ) can be found using the chain rule and the derivative of ( e^u ), where ( u ) is a function of ( x ). The derivative is ( -\frac{1}{x^2} e^{1/x} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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