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

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

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

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

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derivative of

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

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

Solution steps

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

Simplify

\frac{- 2}{x ^{2}} : - \frac{2}{x ^{2}}

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

Take the constant out:

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

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - 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}}

\frac{1}{x ^{2} + 18 x + 88}

y = x (x - 4)

\int - \frac{1}{2} cos (2 x) (2 x) d x

\frac{d}{d x} (\frac{x + 3}{7 x ^{2} e ^{x}})

\frac{d}{d x} (16 cos (x))

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