If

Question

f(x)=e^(x+5lnx)

find f'(4), correct to two decimal places.

Answer 1

First calculate the derivative f'(x). Then substitute 4 for x.

f'(x) = e^(x+5lnx) * (1 + 5/x)

That was obtained using the "chain rule", which you should learn.
df/dx = df/du*du/dx
In this case, I let u = x + 5lnx