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

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

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

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

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derivative of

f (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}}

f (x) = 7 x^{4} arctan (4 x^{4})

\int \frac{7}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

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

x \to 1 lim (4 x^{3} - x^{2} + 7 x)

\frac{d}{d x} (\frac{1 + csc ( x )}{1 - csc ( x )})

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