Answer:
C
Step-by-step explanation:
First you have to find h'(x). To find it you have to use the multiplication differentiation rule. Therefore h'(x) is...
h'(x) = f(x)g'(x) + g(x)f'(x)
Then plug 2 into the equation
h'(2) = f(2)g'(2) +g(2)f'(2)
Then you use the graphs to find out the numerals for the equation
f(2) = 4
g(2) = 5
To find the derivative of these functions, you have to find the slope of the line at the point where x = 2
f'(2) = 2
g'(2) = 1
Then finally you plug that all into the equation we made at the beginning and get the answer
h'(2) = 4 x 1 + 5 x 2 = 14
So the answer is C
*If you are taking the AP exam on monday good luck! I am taking it too! :D
