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}})

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}}

\frac{7}{4 s - 12}

\int sin^{2} (x) cos^{2} (x) d x

\frac{d}{d x} (\frac{π}{x ^{18}})

f (x) = 2 x^{3} - 6 x, at x = - 3

\int \frac{( 2 x ^{2} - 5 x + 2 )}{x ^{3} + x} 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)