Below is a table containing information about differentiable functions f and g:

Question

x: -2 -1 0 1 2

f(x): 4 3 5 2 1

f'(x):1 4 2 5 3

g(x): 5 2 1 3 4

g'(x):3 5 4 1 2

F(x) + g(x), G(x)=f(x) * g(x), H(x) = g(x)/f(x)
Find F'(-1)
Find G'(0)
Find H'(-2)

Answer 1

G = fg
G' = f'g + fg', so
G'(0) = (2)(1)+(5)(4) = 22

similarly for the others, using the appropriate rules.