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  • 19-06-2018
  • Mathematics
contestada

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

4
0
8
-8

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jdoe0001 jdoe0001
  • 19-06-2018
[tex]\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[/tex]
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