What is the derivative of-5x^{-6} ?

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

What is the first derivative of-5x^{-6} ?

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

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

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

Solution steps

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

Take the constant out:

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

= - 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 11 tan^{3} (x) sec (x) d x

\frac{d}{d x} ((sin (5 x))^{l n (x)})

\frac{d}{d x} (\frac{81}{x ^{4}})

y^{^{'}} - \frac{y}{x} = tan (\frac{y}{x})

\int \frac{x}{( x ^{2} + 4 x + 5 ) ^{\frac{3}{2}}} d x

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