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

The derivative of-6/(x^2) is (12)/(x^3)

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

The first derivative of-6/(x^2) is (12)/(x^3)

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derivative of

- \frac{6}{x ^{2}}

\frac{12}{x ^{3}}

Solution steps

\frac{d}{d x} (- \frac{6}{x ^{2}})

Take the constant out:

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

= - 6 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= - 6 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= - 6 (- 2 x^{- 2 - 1})

Simplify

- 6 (- 2 x^{- 2 - 1}) : \frac{12}{x ^{3}}

= \frac{12}{x ^{3}}

\frac{d}{d x} (x^{5} ln (8 x))

\int \frac{5 x ^{2}}{( 49 + x ^{2} ) ^{2}} d x

y = \frac{2 x}{x - 1}, (- 1, 1)

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

\frac{d}{d x} (x x^{2} + 4)

What is the derivative of-6/(x^2) ?
The derivative of-6/(x^2) is (12)/(x^3)
What is the first derivative of-6/(x^2) ?
The first derivative of-6/(x^2) is (12)/(x^3)