Define h(x)= cases x^ 2 -9 x-3 , & x 3 6, & x=3 cases Determine whether exists

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Define

h(x)=\begin{cases}\dfrac{x^{2}-9}{x-3}, & x\ne 3\\ 6, & x=3\end{cases}

Determine whether

h'(3)

exists, and if it does, state its value.