What is the derivative of 1/((a+x)^2) ?

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

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

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

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derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

f (x) = - 6 x + 3

ln (e^{x} + 2)

(\frac{t ^{2}}{( t ^{3} + 2 )})^{2}

3 x^{3} - 2 x^{2} - x + 1

(2 x - 3)^{\frac{5}{2}}

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