Question

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

Answer 1

Answer:

105

Step-by-step 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

$g^{'}(6)=3(6)^{2} -9=99$