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

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

Solution steps

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

Simplify

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

= \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}}

e^{x} y d y - (e^{- y} + e^{2 x - y}) d x = 0

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

\int \frac{e ^{3 x}}{1 - e ^{6 x}} d x

x \to \infty lim (\frac{5 - 2 x ^{\frac{3}{2}}}{3 x - 4})

\int (1 - x) (2 + x^{2}) d x

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)