Consider the function: $\displaystyle {g{{\left({x}\right)}}}=-{6}{x}^{{2}}+{4}{x}-{8}$

A) Find the average rate of change of $\displaystyle {g{{\left({x}\right)}}}$ between the points $\displaystyle {x}=-{3}$ and $\displaystyle {x}={3}$. Round your answer to two decimal places, if necessary.

Answer:

B) Find the exact instantaneous rate of change of $\displaystyle {g{{\left({x}\right)}}}$ at the single point $\displaystyle {x}={1}.$ Round your answer to two decimal places, if necessary.

Answer: