Question

If f(x) = ex-formula">, then ln(f' (2)) =
A) 2
B) 0
C) $\frac{1}{e^{2} }$
D) 2e
E) $e^{2}$

Answer 1

First we have to find derivative of f(x):

$f(x)=e^x \Rightarrow f'(x)=e^x$

For x=2 we have:

$f'(2)=e^2$

Now, $\ln f'(2)=\ln e^2 = 2$

Hence, the answer is A) 2