Consider the following function.
g(x) = -x² + 2x + 5
Find the first and second derivatives of the function.
a) g'(x) = -2x + 2, g''(x) = -2; concave upward
b) g'(x) = -2x + 2, g''(x) = -2; concave downward
c) g'(x) = -2x + 2, g''(x) = 2; concave upward
d) g'(x) = -2x + 2, g''(x) = 2; concave downward