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

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

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

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

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derivative of

f (x) = x^{- 12}

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

Solution steps

\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}}

\frac{d}{d x} (4 x^{3} + 4 x^{2} - 8 x)

\frac{d}{d x} (ln (x + x^{2} - 11))

f (x) = x + 3

\frac{d y}{d x} = y (x y^{6} + 4)

n = 1 \sum \infty \frac{1}{( 3 n - 1 ) ^{4}}

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