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}})

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}}

ln (2^{x})

\int \frac{t ^{2}}{1 + t ^{2}} d t

\int 8 x^{3} + \frac{1}{x} d x

\frac{\partial}{\partial y} (e^{7 x e^{y}})

f (x) = 6 x^{3} cot (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)