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

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

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

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

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derivative of

\frac{1}{x - e}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

x \to \infty lim (\frac{10}{x})

\int \frac{1}{( tan ( \frac{x}{2} ) ) ^{2} + 1} d x

\frac{d}{d x} (10 sin^{2} (x))

\int sec (\frac{π}{4} - 2 x) d x

x \to 3 + lim (x - 2)

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