What is the derivative of 2/(x^6) ?

The derivative of 2/(x^6) is -(12)/(x^7)

What is the first derivative of 2/(x^6) ?

The first derivative of 2/(x^6) is -(12)/(x^7)

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derivative of

\frac{2}{x ^{6}}

- \frac{12}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{2}{x ^{6}})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= 2 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= 2 (- 6 x^{- 6 - 1})

Simplify

2 (- 6 x^{- 6 - 1}) : - \frac{12}{x ^{7}}

= - \frac{12}{x ^{7}}

\int_{0}^{1} sin (π x cos (π) x) d x

\int 4 x^{3} + 1 d x

f (x) = x^{3} - 9 x (3)

f (x) = tan^{2} (x), at x = \frac{- π}{4}

What is the derivative of 2/(x^6) ?
The derivative of 2/(x^6) is -(12)/(x^7)
What is the first derivative of 2/(x^6) ?
The first derivative of 2/(x^6) is -(12)/(x^7)