Question

if h(x)=g(f(x)) then h'(3)=
a) 1/2 b)1 c)4 d)6 e)9

Answer 1

do you know chain rule?

Answer 2

also seems weird we aren't given anything else

Answer 3

yes but theres also a chart...

Answer 4

ok well what is h'(x) given that h(x)=g(f(x))

Answer 5

uhm im not sure..

Answer 6

have you ever heard of chain rule is derivative of inside times the derivative of the outside(leaving inside the same here)

Answer 7

h(x)=g(f(x))
the inside function is f(x)
the derivative of the inside function is f'(x)
the outside function is g(x)
the derivative of the outside function is g'(x)
the derivative of the outside function leaving the inside the same from before is g'(f(x))

Answer 8

h'(x)=f'(x)*g'(f(x)) by chain rule

Answer 9

replace the x's with 3 and use use chart

Answer 10

so where x is three replace it with the value given ?