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Popular >

derivative of-16(x^{-6}-x^{12})

Solution

derivative of

- 16 (x^{- 6} - x^{12})

Solution

- 16 (- \frac{6}{x ^{7}} - 12 x^{11})

Solution steps

\frac{d}{d x} (- 16 (x^{- 6} - x^{12}))

Take the constant out:

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

= - 16 \frac{d}{d x} (x^{- 6} - x^{12})

Apply the Sum/Difference Rule:

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

= - 16 (\frac{d}{d x} (x^{- 6}) - \frac{d}{d x} (x^{12}))

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

\frac{d}{d x} (x^{12}) = 12 x^{11}

= - 16 (- \frac{6}{x ^{7}} - 12 x^{11})

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Frequently Asked Questions (FAQ)

What is the derivative of-16(x^{-6}-x^{12}) ?
The derivative of-16(x^{-6}-x^{12}) is -16(-6/(x^7)-12x^{11})
What is the first derivative of-16(x^{-6}-x^{12}) ?
The first derivative of-16(x^{-6}-x^{12}) is -16(-6/(x^7)-12x^{11})