What is the derivative of (20/(x^3)) ?

The derivative of (20/(x^3)) is -(60)/(x^4)

What is the first derivative of (20/(x^3)) ?

The first derivative of (20/(x^3)) is -(60)/(x^4)

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\frac{d}{d x} (\frac{20}{x ^{3}})

- \frac{60}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{20}{x ^{3}})

Take the constant out:

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

= 20 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= 20 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 20 (- 3 x^{- 3 - 1})

Simplify

20 (- 3 x^{- 3 - 1}) : - \frac{60}{x ^{4}}

= - \frac{60}{x ^{4}}

\int 3 x^{2} - 5 x + 2 d x

\int_{0}^{\infty} 6 e^{- 3 x} d x

\frac{d}{d x} (\frac{x - 19}{x - 19})

f (x) = x^{4} - 13 x^{2} + 36, at x = 1

(25 t) ((\frac{t}{25})^{2})

What is the derivative of (20/(x^3)) ?
The derivative of (20/(x^3)) is -(60)/(x^4)
What is the first derivative of (20/(x^3)) ?
The first derivative of (20/(x^3)) is -(60)/(x^4)