What is the derivative of a/(x^2) ?

The derivative of a/(x^2) is -(2a)/(x^3)

What is the first derivative of a/(x^2) ?

The first derivative of a/(x^2) is -(2a)/(x^3)

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derivative of

\frac{a}{x ^{2}}

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

y = 6 x - 3

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

x + 2 y

x^{1} + n

\frac{e ^{x}}{( 1 + 2 x )}

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