Chapter 0.5, Problem 2E

Find c satisfying the Mean Value Theorem for $f(x)$ on the interval [0, 1].

$\begin{array}{l}\text{a}\text{. }f(x)=e^x\\ \text{b}\text{. }f(x)=x^2\\ \text{c}\text{. }f(x)=1/(x+1)\end{array}$