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

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

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

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

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derivative of

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int (\frac{e ^{x}}{x}) d x

n = 1 \sum \infty \frac{1 ^{n}}{n + 1}

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

\frac{\partial}{\partial x} (x y + \frac{2}{x} + \frac{4}{y})

e^{x}, e^{- 4 x}, x = ln (4)

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