$\begin{align*} \dfrac{f(-1+h)-f(-1)}{(-1+h)-(-1)} & = \dfrac{[(-1+h)^3 -5(-1+h)]-[(-1)^3 - 5(-1)]}{h} \\ & = \dfrac{(h-1)^3 - 5h +1}{h}\end{align*}$
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