What is the derivative of (10)/(x^3) ?

The derivative of (10)/(x^3) is -(30)/(x^4)

What is the first derivative of (10)/(x^3) ?

The first derivative of (10)/(x^3) is -(30)/(x^4)

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derivative of

\frac{10}{x ^{3}}

- \frac{30}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{10}{x ^{3}})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= 10 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 10 (- 3 x^{- 3 - 1})

Simplify

10 (- 3 x^{- 3 - 1}) : - \frac{30}{x ^{4}}

= - \frac{30}{x ^{4}}

n = 1 \sum \infty (cos (1.4))^{n}

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

\int \frac{4 x}{x ^{3} + x ^{2} + x + 1} d x

\int_{0}^{t} t^{2} e^{- 5 t} d t

\frac{\partial}{\partial x} (∣ x y ∣)

What is the derivative of (10)/(x^3) ?
The derivative of (10)/(x^3) is -(30)/(x^4)
What is the first derivative of (10)/(x^3) ?
The first derivative of (10)/(x^3) is -(30)/(x^4)