What is the derivative of (110/(x^{12)}) ?

The derivative of (110/(x^{12)}) is -(1320)/(x^{13)}

What is the first derivative of (110/(x^{12)}) ?

The first derivative of (110/(x^{12)}) is -(1320)/(x^{13)}

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\frac{d}{d x} (\frac{110}{x ^{12}})

- \frac{1320}{x ^{13}}

Solution steps

\frac{d}{d x} (\frac{110}{x ^{12}})

Take the constant out:

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

= 110 \frac{d}{d x} (\frac{1}{x ^{12}})

Apply exponent rule:

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

= 110 \frac{d}{d x} (x^{- 12})

Apply the Power Rule:

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

= 110 (- 12 x^{- 12 - 1})

Simplify

110 (- 12 x^{- 12 - 1}) : - \frac{1320}{x ^{13}}

= - \frac{1320}{x ^{13}}

\frac{d}{d x} (5 tan (x))

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What is the derivative of (110/(x^{12)}) ?
The derivative of (110/(x^{12)}) is -(1320)/(x^{13)}
What is the first derivative of (110/(x^{12)}) ?
The first derivative of (110/(x^{12)}) is -(1320)/(x^{13)}