Calculus Question Check PDF

Additional Problem for Homework 6

A graph of f(x) is shown below. It is piecewise linear.

The table below gives values of g(x) and g′(x).

1 2 3 4

4 f(x) x 0 1 2 3 4

g(x) 2 5 9 11 8

g′(x) 3 4 2 -3 -4

a) Given h(x) = f(x)g(x), find h′(1).

b) Given k(x) = f(x)

g(x) , find k′(3).

c) Given `(x) = g(x) √ x

, find `′(4).