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

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

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

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

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derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

(4 - 3 x)^{10}

\frac{x ^{3} + 1}{x ^{3} + 8}

\frac{d}{d q} (200 - 5 q)

sin^{2} (3 x + 4)

f (x) - 7 x + 6

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