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

3.6 THE CHAIN RULE Ex88
數學系卡安很閒 所以決定拯救沒辦法用slader和chegg的莘莘學子
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)(g(x))^3 , x = 0
c. ƒ(x)/(g(x) + 1), x = 1
d. ƒ(g(x)), x = 0
e. g(ƒ(x)), x = 0
f. (x^11 + ƒ(x))^(-2) , x = 1
g. ƒ(x + g(x)), x = 0