If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x).

Question

(a) find u' (1)

(b) find v'(5)



Answer 1

This is simply a test of your knowledge of the product rule for derivatives.

If f(x)=u(x)*v(x), the f'(x)=u(x)*v'(x) + u'(x)*v(x).

Read off the needed values from the graph and substitute.