2. Intro to Derivatives

Find the derivative of the function $f(x)=4x^2-9x$.

Use the definition of a derivative, to find the derivative of the function $g(x)=x^3$ at $x=-1$.

For the function $f\left(x\right)=3x^2$, what is the multiplicative rate of change of the function, that is, what is its derivative as a function of $x$?

Suppose the graph of the function $f\left(x\right)$ passes through the points $(2,3)$ and $(4,7)$. What is the average rate of change of $f\left(x\right)$ between $x=2$ and $x=4$? Round your answer to the nearest tenth.