Question

If `f(x)=5e^x+9ln(x)`, what is `f'(3)`?

Answer 1

`f'(3)=103.4275`

Explanation:

As `d/dx e^x=e^x` and `d/dx lnx=1/x`

Hence, given `f(x)=5e^x+9ln(x)`

`f'(x)=(df)/(dx)=5e^x+9/x`

and `f'(3)=5xxe^3+9/3`

= `5xx20.0855+3`

= `100.4275+3`

= `103.4275`