What is the derivative of-x^{-2}-1 ?

The derivative of-x^{-2}-1 is 2/(x^3)

What is the first derivative of-x^{-2}-1 ?

The first derivative of-x^{-2}-1 is 2/(x^3)

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\frac{d}{d x} (- x^{- 2} - 1)

\frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} (- x^{- 2} - 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (x^{- 2}) - \frac{d}{d x} (1)

\frac{d}{d x} (x^{- 2}) = - \frac{2}{x ^{3}}

\frac{d}{d x} (1) = 0

= - (- \frac{2}{x ^{3}}) - 0

Simplify

= \frac{2}{x ^{3}}

(x^{2} + 4 \cdot x + 2)^{9}

f (x) = \frac{x}{x ^{2} + 196}

f (x) = x^{2} + x + 1

x \to 1 lim (\frac{3}{x ^{3} - 1})

\frac{\partial}{\partial x} (2 (x - a))

What is the derivative of-x^{-2}-1 ?
The derivative of-x^{-2}-1 is 2/(x^3)
What is the first derivative of-x^{-2}-1 ?
The first derivative of-x^{-2}-1 is 2/(x^3)