Suppose that on the interval $I$, $f(x)$ is positive and concave up. Furthermore, assume that $f''(x)$ exists and let $g(x)=(f(x))^2$. Use this information to answer the following questions.

a.) $f''(x) >$ on $I$.
b.) $g''(x)=2(A^2+B\,f''(x))$, where $A=$ and $B=$ .
c.) $g''(x) >$ on $I$.
d.) $g(x)$ is on $I$.