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

The derivative of (-5)/(x^5) is (25)/(x^6)

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

The first derivative of (-5)/(x^5) is (25)/(x^6)

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derivative of

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

\frac{25}{x ^{6}}

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

- 5 (- 5 x^{- 5 - 1}) : \frac{25}{x ^{6}}

= \frac{25}{x ^{6}}

- 3 x^{2} y + y^{^{'}} = - 5 x^{2}

y = 2 (x + 1), y = 3 (x + 1), x = 3

\int_{1}^{4} 3 \frac{ln ( x )}{x ^{2}} d x

f (x) = - 6 x^{- 2}

\int_{- 2}^{1} 2 x^{2} + 3 d x

What is the derivative of (-5)/(x^5) ?
The derivative of (-5)/(x^5) is (25)/(x^6)
What is the first derivative of (-5)/(x^5) ?
The first derivative of (-5)/(x^5) is (25)/(x^6)