### Part 1: The derivative at a specific point

Use the definition of the derviative to compute the derivative of $\displaystyle{f(x) = {1-3x^{2}}}$ at the specific point $x = 2$. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box).
$\displaystyle{f'(2) = \lim_{h \to 0} \Bigg( \frac{f(2+h)-f(2)}{h} \Bigg) = \lim_{h \to 0} \Bigg(}$ $\displaystyle{\Bigg) = }$ .