What is the derivative of 1/(x^{12}) ?

The derivative of 1/(x^{12}) is -(12)/(x^{13)}

What is the first derivative of 1/(x^{12}) ?

The first derivative of 1/(x^{12}) is -(12)/(x^{13)}

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

- \frac{12}{x ^{13}}

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 12 x^{- 12 - 1}

Simplify

- 12 x^{- 12 - 1} : - \frac{12}{x ^{13}}

= - \frac{12}{x ^{13}}

tan (2 x^{2} - x + 3)

y = 9 sec (\frac{1}{3} x)

f (x) = 2 x ln (x) + x

\int (\frac{5 - 10 x ^{2}}{4 x ^{3} - 6 x + 15}) d x

f (x) = x x^{2} + 21

What is the derivative of 1/(x^{12}) ?
The derivative of 1/(x^{12}) is -(12)/(x^{13)}
What is the first derivative of 1/(x^{12}) ?
The first derivative of 1/(x^{12}) is -(12)/(x^{13)}