Question

If f(x) = e^xg(x), where g(0) = 5 and g'(0) = 3, find f '(0).

Answer 1

by product rule
(uv)' = u v' + v u'
f'(x) = e^x g'(x) + g(x) e ^x
f'(0) = e^0 3 + 5 e^0
= 3+5 = 8

Answer 2

thank you!