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

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

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

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

Popular >

derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{ln ( 1 )}{x}

(6 x^{2} + 11)^{\frac{1}{2}}

\frac{- 3 sin ^{2} ( x ) + 3 cos ( x ) + 3}{4}

\frac{d}{d v} (\frac{( m \cdot v ^{2} )}{r})

\frac{sin ^{2} ( x )}{2}

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