What is the derivative of 3/(x^2) ?

The derivative of 3/(x^2) is -6/(x^3)

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

The first derivative of 3/(x^2) is -6/(x^3)

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derivative of

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

- \frac{6}{x ^{3}}

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 3 (- 2 x^{- 2 - 1})

Simplify

3 (- 2 x^{- 2 - 1}) : - \frac{6}{x ^{3}}

= - \frac{6}{x ^{3}}

n = 1 \sum \infty (- 1)^{n} e^{- n}

x \to 2 lim (3 x - 9)

\frac{d}{d x} (- 125 cos (5 x))

\int_{\frac{1}{2}}^{\frac{3}{4}} \frac{1}{u ^{2}} d u

\int_{- 1}^{3} 3 x^{2} + 4 x d x

What is the derivative of 3/(x^2) ?
The derivative of 3/(x^2) is -6/(x^3)
What is the first derivative of 3/(x^2) ?
The first derivative of 3/(x^2) is -6/(x^3)