What is the derivative of 1/(x-6) ?

The derivative of 1/(x-6) is -1/((x-6)^2)

What is the first derivative of 1/(x-6) ?

The first derivative of 1/(x-6) is -1/((x-6)^2)

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derivative of

\frac{1}{x - 6}

- \frac{1}{( x - 6 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{x - 6})

Apply exponent rule:

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

= \frac{d}{d x} ((x - 6)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 6 ) ^{2}} \frac{d}{d x} (x - 6)

= - \frac{1}{( x - 6 ) ^{2}} \frac{d}{d x} (x - 6)

\frac{d}{d x} (x - 6) = 1

= - \frac{1}{( x - 6 ) ^{2}} \cdot 1

Simplify

= - \frac{1}{( x - 6 ) ^{2}}

x, \frac{1}{x}, \frac{1}{2}

y = ln (sec (x))

x \to 0 lim ((\frac{1}{x})^{x^{2}})

\frac{\partial}{\partial x} (\frac{( 1 + y )}{1 + x})

x \to - 1 lim (x^{4} - x^{3} + 2 x)

What is the derivative of 1/(x-6) ?
The derivative of 1/(x-6) is -1/((x-6)^2)
What is the first derivative of 1/(x-6) ?
The first derivative of 1/(x-6) is -1/((x-6)^2)