For the function: $f(x)=5x^3-4x3,$ defined on the interval $1,3,$ find the instantancous rate of change at $x=3$ and average rate of change over the interval $1,3.$

A$.$ The average rate of change over the interval $[1,3]$ is $60$ and the instantancous rate of change at $x=3$ is $131.$

B$.$ The average rate of change over the interval $1,3$ is $131$ and the instantancous rate of change at $x=3$ is $60.$

C$.$ The average rate of change over the interval $1,3$ is $61$ and the instantaneous rate of change at $x=3$ is $131.$

D$.$ The average rate of change over the interval $1,3$ is $131$ and the instantaneous rate of change at $x=3$ is $61.$

A$.$

B$.$

C$.$

D$.$