a$.$ Determine whether the Mean Value Theorem applies to the function $f(x)=e^x$ on the given interval $[0,ln15].$

b$.$ If so$,$ find the point$($s$)$ that are guaranteed to exist by the Mean Value Theorem.

a$.$ Choose the correct answer below.

A$.$ The Mean Value Theorem applies because the function is continuous on $0,ln15$ and differentiable on $(0,ln15).$

B$.$ The Mean Value Theorem applies because the function is continuous on $(0,ln15)$ and differentiable on $[0,$ In $15].$

C$.$ The Mean Value Theorem does not apply because the function is not differentiable on $(0,ln15).$

D$.$ The Mean Value Theorem does not apply because the function is not continuous on $[0,$ In $15].$

b$.$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.$ The point$($s$)$ is$/$are $x=$

$($Type an exact answer. Use a comma to separate answers as needed.$)$

B$.$ The Mean Value Theorem does not apply in this case.