Solve the following.

Question

Find H'(4) where H(x)=xf(x).

I will message you the table individually.

Answer 1

H(x) is the product of "x" and "f(x)", so you will need the product rule.

H'(x) = first (x) * derive 2nd (f(x)) + 2nd (f(x)) * deriv 1st (x)

H'(x) = x [ f '(x) ] + f(x) (1)

So H'(4) = 4 [ f '(4) ] + f(4)

And you will need to look up f '(4) and f(4) in the table to complete this problem.