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

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Answer 1 · 2016-03-20T10:40:09

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

To find derivative of $e^(1/x)$ , we use function of a function i.e. if $f(g(x))$ , $(df)/(dx)=(df)/(dg)xx(dg)/(dx)$

Hence $d/(dx)e^(1/x)$ is equal to

$e^(1/x)xxd/(dx)(1/x)=e^(1/x)xx(-1/x^2)=-e^(1/x)/x^2$

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