What is the derivative of 1/(x-3) ?

The derivative of 1/(x-3) is -1/((x-3)^2)

What is the first derivative of 1/(x-3) ?

The first derivative of 1/(x-3) is -1/((x-3)^2)

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derivative of

\frac{1}{x - 3}

- \frac{1}{( x - 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{x - 3})

Apply exponent rule:

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

= \frac{d}{d x} ((x - 3)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 3 ) ^{2}} \frac{d}{d x} (x - 3)

= - \frac{1}{( x - 3 ) ^{2}} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= - \frac{1}{( x - 3 ) ^{2}} \cdot 1

Simplify

= - \frac{1}{( x - 3 ) ^{2}}

x \to 0 - lim (cos (x))

\int x cos^{4} (x) d x

\int (\frac{x + 5}{x}) d x

n = 0 \sum \infty 1 - cos (\frac{1}{n})

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{( e ^{3 t} )}{t ^{2}}

What is the derivative of 1/(x-3) ?
The derivative of 1/(x-3) is -1/((x-3)^2)
What is the first derivative of 1/(x-3) ?
The first derivative of 1/(x-3) is -1/((x-3)^2)