Question

if f(2)=2, f'(2)=3, g(2)=1, and g'(2)=5 then what does h'(2)=? h(x)=f(x)g(x)

Answer 1

We're missing information.
What is h(x)?\[\Large\bf\sf h(x)\quad=\quad f(g(x))\]Something like that maybe?
Or is h(x) a product of f and g?
More info plssss +_+

Answer 2

there you go

Answer 3

\[\Large\bf\sf h=fg\]Remember your product rule?\[\Large\bf\sf h'=f'g+fg'\]Look familiar? :o

Answer 4

so in this case would it be (3*1)+(2*5) so 13?

Answer 5

MMmmmm ya looks good!

Answer 6

thanks

Answer 7

\[\Large\bf\sf h'(2)=f'(2)g(2)+f(2)g'(2)\]