Use the given information to find f ′(5).

Question

f(x) = g(x)h(x)

g(5) = 7 and g′(5) = −6

h(5) = 1 and h′(5) = −5

Answer 1

First get f^/(x) by the product rule:

f^/(x) = g(x)h^/(x) + h(x)g^/(x)

Now put in 5 for x. That should be all you need as each of the pieces is given to you.