What is the derivative of 2x^{-6}+x^{-1} ?

The derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)

What is the first derivative of 2x^{-6}+x^{-1} ?

The first derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)

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

- \frac{12}{x ^{7}} - \frac{1}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (2 x^{- 6}) = - \frac{12}{x ^{7}}

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

= - \frac{12}{x ^{7}} - \frac{1}{x ^{2}}

\int 8 e^{3 x} d x

n = 1 \sum \infty \frac{n - 1}{6 n - 1}

\int cos (7 x + 4) d x

\frac{8}{s ^{2} + 9} \cdot e^{- 5 s}

(sec (x))^{2}

What is the derivative of 2x^{-6}+x^{-1} ?
The derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)
What is the first derivative of 2x^{-6}+x^{-1} ?
The first derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)