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

The derivative of-6/(x^3) is (18)/(x^4)

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

The first derivative of-6/(x^3) is (18)/(x^4)

Popular >

derivative of

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

\frac{18}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{6}{x ^{3}})

Take the constant out:

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

= - 6 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= - 6 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 6 (- 3 x^{- 3 - 1})

Simplify

- 6 (- 3 x^{- 3 - 1}) : \frac{18}{x ^{4}}

= \frac{18}{x ^{4}}

\int x arctan (x) d x

\frac{\partial}{\partial x} (x^{4} + 12 x y^{2} + 2 y^{4})

y = \frac{2 x - 9}{3 x + 7}

\int \frac{7 ^{x}}{1 - 7 ^{2 x}} d x

\frac{d}{d x} (e^{- 3})

What is the derivative of-6/(x^3) ?
The derivative of-6/(x^3) is (18)/(x^4)
What is the first derivative of-6/(x^3) ?
The first derivative of-6/(x^3) is (18)/(x^4)