Question

Question #05c1d

Answer 1

`=e^sqrt(x)/(2sqrt(x))`

Explanation:

first, derivative of `e^x` is `e^x` proof

derivative of `e^sqrt(x)` is `e^sqrt(x)*d/dx(sqrt(x))` chain rule

`=e^sqrt(x)*d/dx(x^(1/2))`

`=e^sqrt(x)*(1/2x^(-1/2))` power rule

`=e^sqrt(x)/(2sqrt(x))`