What is the derivative of 1/(x-5) ?

The derivative of 1/(x-5) is -1/((x-5)^2)

What is the first derivative of 1/(x-5) ?

The first derivative of 1/(x-5) is -1/((x-5)^2)

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derivative of

\frac{1}{x - 5}

- \frac{1}{( x - 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{x - 5})

Apply exponent rule:

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

= \frac{d}{d x} ((x - 5)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 5 ) ^{2}} \frac{d}{d x} (x - 5)

= - \frac{1}{( x - 5 ) ^{2}} \frac{d}{d x} (x - 5)

\frac{d}{d x} (x - 5) = 1

= - \frac{1}{( x - 5 ) ^{2}} \cdot 1

Simplify

= - \frac{1}{( x - 5 ) ^{2}}

\frac{d}{d x} ((A x^{2} + B x) \cdot sin (x))

n = 0 \sum \infty \frac{n ^{n}}{n !}

f (x) = \frac{- 2}{2 x - 14}

x \to 1 - lim (\frac{1}{ln ( x )})

y = 9 - 6 x, at x = - 1

What is the derivative of 1/(x-5) ?
The derivative of 1/(x-5) is -1/((x-5)^2)
What is the first derivative of 1/(x-5) ?
The first derivative of 1/(x-5) is -1/((x-5)^2)