Question

Find the derivative of f(x) = 8 divided by x at x = -1.

4
0
8
-8

Answer 1

`\bf \stackrel{f(x)}{y}=\cfrac{8}{x}\implies y=8x^(-1)\implies \cfrac{dy}{dx}=8(-1)x^(-2)\implies \cfrac{dy}{dx}=-8x^(-2) \\\\\\ \left. \cfrac{dy}{dx}=-\cfrac{8}{x^2}\right|_(x=-1)\implies \cfrac{-8}{(-1)^2}\implies -8`