Question

How do you find the derivative of `f(x)=5x-2e^x`?

Answer 1

`f'(x)=5-2e^x`

Explanation:

`f'(x)=(d(5x))/(dx)-(d(2e^x))/(dx)->`since there is only a subtraction operation, the separate parts of the function are able to be derived individually.

`(d(5x))/(dx)=5->`power rule

`(d(2e^x))/(dx)=2e^x->d/(dx)e^x=e^x`

`:.f'(x)=5-2e^x`