What is the derivative of 1/(x+10) ?

The derivative of 1/(x+10) is -1/((x+10)^2)

What is the first derivative of 1/(x+10) ?

The first derivative of 1/(x+10) is -1/((x+10)^2)

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\frac{d}{d x} (\frac{1}{x + 10})

- \frac{1}{( x + 10 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{x + 10})

Apply exponent rule:

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

= \frac{d}{d x} ((x + 10)^{- 1})

Apply the chain rule:

- \frac{1}{( x + 10 ) ^{2}} \frac{d}{d x} (x + 10)

= - \frac{1}{( x + 10 ) ^{2}} \frac{d}{d x} (x + 10)

\frac{d}{d x} (x + 10) = 1

= - \frac{1}{( x + 10 ) ^{2}} \cdot 1

Simplify

= - \frac{1}{( x + 10 ) ^{2}}

\frac{d}{d x} (12 ln (x))

\frac{\partial}{\partial y} (\frac{x}{x - y})

y^{^{'}} = y sin (x)

\int_{- 2}^{2} (3 x^{3} - 10) d x

x \to - \infty lim (x \cdot (x))

What is the derivative of 1/(x+10) ?
The derivative of 1/(x+10) is -1/((x+10)^2)
What is the first derivative of 1/(x+10) ?
The first derivative of 1/(x+10) is -1/((x+10)^2)