How do you use a calculator to find the derivative of #f(x)=e^sqrt(x)# ?

It depends on the type of calculator used. If it's a scientific calculator, you've got no hope; if it's a graphics calculator, ideally it needs CAS capability (or similar).

The best thing to do is to consult your calculator's manual, and learn from there.

To find the derivative of ( f(x) = e^{\sqrt{x}} ) using a calculator, you can follow these steps:

1. Enter the function into the calculator: ( e^{\sqrt{x}} ).
2. Use the derivative function or symbol provided on your calculator (usually denoted as ( \frac{d}{dx} ) or similar).
3. Input the function you entered earlier, ( e^{\sqrt{x}} ), as the function you want to differentiate.
4. Specify the variable with respect to which you want to differentiate (usually denoted as ( x )).
5. Execute the command to find the derivative.

The calculator should then provide you with the derivative of the function ( f(x) = e^{\sqrt{x}} ), which is ( f'(x) = \frac{e^{\sqrt{x}}}{2\sqrt{x}} ).