Suppose f (x) and g (x) are differentiable functions with the known values:

Suppose f (x) and g (x) are differentiable functions with the known values:
X 0 1 2 3 4
F(x) 3 4 0 5 2
G(x) 1 4 3 1 0
F’(x) 6 5 1 2 3
G’(x) 2 3 4 4 6

Evaluate:
c. (d/dx) [(x+f(x))^2] when x=2

(d/dx) [(x+f(x))^2] = 2*(x+f(x))*(1+f '(x)) = 2*(2+0)*(1+1) = 2*2*2 = 8