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

Jul 1, 2015

I found: $- {e}^{\frac{1}{x}} / {x}^{2}$

Explanation:

You can use the Chain Rule to deal first with $e$ and then with $\frac{1}{x}$:
$y ' = {e}^{\frac{1}{x}} \cdot \left(- \frac{1}{x} ^ 2\right) = - {e}^{\frac{1}{x}} / {x}^{2}$