murrayc murrayc
  • 01-05-2020
  • Mathematics
contestada

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

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highwireact
highwireact highwireact
  • 01-05-2020

Answer:

-8

Step-by-step explanation:

We can write [tex]f(x)=\frac{8}{x}[/tex], or equivalently [tex]f(x)=8x^{-1}[/tex]. Using the power rule, the derivative [tex]f'(x)=-8x^{-2}=-\frac{8}{x^2}[/tex]. Substituting in -1 for x gives us a derivative of [tex]f'(-1)=-\frac{8}{(-1)^2} =-\frac{8}{1}=-8[/tex]

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