What is the derivative of 5/(x^4) ?

The derivative of 5/(x^4) is -(20)/(x^5)

What is the first derivative of 5/(x^4) ?

The first derivative of 5/(x^4) is -(20)/(x^5)

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derivative of

\frac{5}{x ^{4}}

- \frac{20}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{4}})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 5 (- 4 x^{- 4 - 1})

Simplify

5 (- 4 x^{- 4 - 1}) : - \frac{20}{x ^{5}}

= - \frac{20}{x ^{5}}

\frac{2 x}{5 - cot ( x )}

\frac{d}{d x} (ln^{2} (5 x))

(x, y) \to (2, 3) lim (x + y^{2})

f (x) = 2 x^{3} + 42 x^{2} + 270 x + 4

\int sin (x) sec^{8} (x) d x

What is the derivative of 5/(x^4) ?
The derivative of 5/(x^4) is -(20)/(x^5)
What is the first derivative of 5/(x^4) ?
The first derivative of 5/(x^4) is -(20)/(x^5)