Question

Find the number guaranteed by the Mean Value Theorem for the function f(x)=e^(0.5*x) on the interval [0,2]

A) 1.083
B) 0.709
C) 0.614
D) -0.304

I keep getting 0.859 and don't know what I'm doing wrong

Answer 1

This is what I'm doing:
\[\frac{ e ^{\frac{ 1 }{ 2}*2} -e ^{\frac{ 1 }{ 2 }*2}{ }}{2-0 }\]

Answer 2

And I get 0.859 for that :/