Graph the function $f(x)=-3x^2$ and draw the tangent lines to the graph at points whose $x-$coordinates are $-2,0,$ and $1.$

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Draw: $$

Find the difference quotient $\frac{f(x+h)-f(x)}{h}$

Find $f^{\text{'}}(x)$ by determining $\underset{h0}{lim}\frac{f(x+h)-f(x)}{h}.$

Evaluate the derivatives. They should match the slopes of the tangent lines you drew above.

Find $f^{\text{'}}(-2)$

Find $f^{\text{'}}(0)$

Find $f^{\text{'}}(1)$