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

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

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

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

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

- \frac{10}{x ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{10}{x ^{4}}

\frac{\partial}{\partial x} (y \cdot arcsin (\frac{x}{y}))

\frac{d}{d x} (sin^{2} (3 x) + cos (5 x^{2}))

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

\int (x + 2) (x^{2} + 4 x + 2)^{10} d x

\int - 64 d x

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