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]
