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

The derivative of (-5)/(x^6) is (30)/(x^7)

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

The first derivative of (-5)/(x^6) is (30)/(x^7)

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derivative of

\frac{- 5}{x ^{6}}

\frac{30}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{- 5}{x ^{6}})

Simplify

\frac{- 5}{x ^{6}} : - \frac{5}{x ^{6}}

= \frac{d}{d x} (- \frac{5}{x ^{6}})

Take the constant out:

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

= - 5 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 5 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 5 (- 6 x^{- 6 - 1})

Simplify

- 5 (- 6 x^{- 6 - 1}) : \frac{30}{x ^{7}}

= \frac{30}{x ^{7}}

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

sec (6 x)

f (x) = \frac{x ^{3} + 8 x ^{2} + x - 7}{x}

n = 1 \sum \infty \frac{3}{( n + 1 ) !}

x \to 0 lim (\frac{3}{x} - \frac{3}{x ^{2} + x})

What is the derivative of (-5)/(x^6) ?
The derivative of (-5)/(x^6) is (30)/(x^7)
What is the first derivative of (-5)/(x^6) ?
The first derivative of (-5)/(x^6) is (30)/(x^7)