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

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

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

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

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derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int \frac{1}{x ^{2} + 12 x + 61} d x

x \to 6 lim (\frac{2}{x - 6})

\frac{3 d u}{d t} = u^{2}

t sin^{2} (t)

y = \frac{x ^{3}}{x + 3}, (3, \frac{9}{2})

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