What is the derivative of 1/((x-2)) ?

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

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

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

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derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

5 θ

f (x) = - 2 x - 1

4 x^{2} 25 - x^{2}

n = 1 \sum \infty \frac{6}{( 3 n + 1 ) ^{2}}

y^{^{''}} = e^{x}

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