Question

What is the rate of change of g(x)=x^3-9x for x=1 to x=6

Answer 1

105

Explanation:

`g(x)=x^(3)-9x`

rate of change of g(x) is

`g^(,)(x)=3x^(2) -9`

for x=1

`g^(')(1)=3(1)^(2) -9=-6`

for x=6

`g^(')(6)=3(6)^(2) -9=99`