Suppose that functions (x) and g(x) and their first derivatives have the following values at x = 0 and x = 1. Find the first

Suppose that functions ƒ(x) and g(x) and their first derivatives have the following values at x = 0 and x = 1.

Find the first derivatives of the following combinations at the given value of x.

a. 6ƒ(x) - g(x), x = 1

b. ƒ(x)g²(x), x = 0

c.

d. ƒ(g(x)), x = 0

e. g(ƒ(x)), x = 0

f. (x + ƒ(x))^3/2, x = 1

g. ƒ(x + g(x)), x = 0

X 0 1 f(x) 1 3 g(x) 1 5 f'(x) -3 1/2 g'(x) 1/2 -4