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

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

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

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

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derivative of

\frac{2}{x + 1}

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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

\frac{d}{d x} (\frac{( x cos ( x ) + π )}{x - π})

x^{- 0.5}

\frac{d ^{2}}{d x ^{2}} (e^{x})

x \to 2 lim (4 x^{2} - 2 x)

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