Suppose that the functions and g and their derivatives with respect to x have the following values at x = 0 and x =

Suppose that the functions ƒ and g and their derivatives with respect to x have the following values at x = 0 and x = 1.

Find the derivatives with respect to x of the following combinations at the given value of x.

a. 5ƒ(x) - g(x), x = 1

b. ƒ(x)g³(x), x = 0

c.

d. ƒ(g(x)), x = 0

e. g(ƒ(x)), x = 0

f. (x¹¹ + ƒ(x))^-2, x = 1

g. ƒ(x + g(x)), x = 0

0 1 f(x) 1 3 g(x) 1 -4 f'(x) 5 -1/3 g'(x) 1/3 -8/3