What is the derivative of 7x^{-12} ?

The derivative of 7x^{-12} is -(84)/(x^{13)}

What is the first derivative of 7x^{-12} ?

The first derivative of 7x^{-12} is -(84)/(x^{13)}

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

- \frac{84}{x ^{13}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 7 (- 12 x^{- 12 - 1})

Simplify

7 (- 12 x^{- 12 - 1}) : - \frac{84}{x ^{13}}

= - \frac{84}{x ^{13}}

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What is the derivative of 7x^{-12} ?
The derivative of 7x^{-12} is -(84)/(x^{13)}
What is the first derivative of 7x^{-12} ?
The first derivative of 7x^{-12} is -(84)/(x^{13)}