chicalapingpon1940 chicalapingpon1940
  • 15-01-2020
  • Mathematics
contestada

In Exercise, find the second derivative of f.
f(x) = -1/x^2

Respuesta :

lisboa lisboa
  • 15-01-2020

Answer:

[tex]f''(x)=\frac{-6}{x^4}[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{-1}{x^2}[/tex]

find the first derivative

[tex]f(x)=-1x^{-2}[/tex]

Apply power rule to find derivative

derivative of a^n = n a^ (n-1)

[tex]f'(x)=-1(-2)x^{-3}[/tex]

[tex]f'(x)=2x^{-3}[/tex]

now we take second derivative, apply same chain rule

[tex]f'(x)=2x^{-3}[/tex]

[tex]f''(x)=2(-3)x^{-4}[/tex]

[tex]f''(x)=\frac{-6}{x^4}[/tex]

Answer Link

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