What is the derivative of f(x)=2x^{-2} ?

The derivative of f(x)=2x^{-2} is -4/(x^3)

What is the first derivative of f(x)=2x^{-2} ?

The first derivative of f(x)=2x^{-2} is -4/(x^3)

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derivative of

f (x) = 2 x^{- 2}

- \frac{4}{x ^{3}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

= 2 (- 2 x^{- 2 - 1})

Simplify

2 (- 2 x^{- 2 - 1}) : - \frac{4}{x ^{3}}

= - \frac{4}{x ^{3}}

k = 0 \sum \infty \frac{1}{2 ^{k}}

x \to \frac{π}{3} lim (2 sin (x))

\frac{d}{d x} (x^{2} sin (x^{2} + 3))

\int \frac{1}{5 x + 8} d x

\frac{2}{( s ) ( s + 2 )}

What is the derivative of f(x)=2x^{-2} ?
The derivative of f(x)=2x^{-2} is -4/(x^3)
What is the first derivative of f(x)=2x^{-2} ?
The first derivative of f(x)=2x^{-2} is -4/(x^3)