What is the derivative of 1/(xx) ?

The derivative of 1/(xx) is -2/(x^3)

What is the first derivative of 1/(xx) ?

The first derivative of 1/(xx) is -2/(x^3)

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\frac{d}{d x} (\frac{1}{xx})

- \frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{1}{xx})

Apply exponent rule:

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

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

Apply the chain rule:

- \frac{1}{( xx ) ^{2}} \frac{d}{d x} (xx)

= - \frac{1}{( xx ) ^{2}} \frac{d}{d x} (xx)

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

= - \frac{1}{( xx ) ^{2}} \cdot 2 x

Simplify

- \frac{1}{( xx ) ^{2}} \cdot 2 x : - \frac{2}{x ^{3}}

= - \frac{2}{x ^{3}}

\frac{d}{d x} (564 + x (36 x^{0.6} - 107))

x \to - 1 - lim (\frac{x}{( x + 1 ) ^{3}})

\int 1 + 4 r^{2} d r

\frac{d}{d x} (1 + 7 x)

\int \frac{( 1 - z )}{z z} d z

What is the derivative of 1/(xx) ?
The derivative of 1/(xx) is -2/(x^3)
What is the first derivative of 1/(xx) ?
The first derivative of 1/(xx) is -2/(x^3)