Answer to Question #204085 in Calculus for moe

Question

Determine the derivative of the function $f(x) = e$^($sqrt(x$ ))

Answer 1

$f(x)=e^{\sqrt{x}}\\ f'(x)=e^{\sqrt{x}}\frac{d}{dx}(\sqrt{x})\space(\text{by chain rule})\\ =e^{\sqrt{x}}\frac{1}{2\sqrt{x}}$