Consider the following cubic curve:

Question

f(x)=−x3 −x2 +16x+16

1. Calculate f′(x).
2. Calculate f′′(x).
3. Find the x values such that f(x) = 0.

Answer 1

just use the [power rule to find the derivative of each term:

d/dx x^n = n*x^(n-1)

As for finding the roots, derivatives don't help much with that. But, digging back into your Algebra I skill set, note that

f(x) = -x^2(x+1) + 16(x+1)
= (16-x^2)(x+1)
...