What is the derivative of 1/(4x+3) ?

The derivative of 1/(4x+3) is -4/((4x+3)^2)

What is the first derivative of 1/(4x+3) ?

The first derivative of 1/(4x+3) is -4/((4x+3)^2)

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derivative of

\frac{1}{4 x + 3}

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

Solution steps

\frac{d}{d x} (\frac{1}{4 x + 3})

Apply exponent rule:

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

= \frac{d}{d x} ((4 x + 3)^{- 1})

Apply the chain rule:

- \frac{1}{( 4 x + 3 ) ^{2}} \frac{d}{d x} (4 x + 3)

= - \frac{1}{( 4 x + 3 ) ^{2}} \frac{d}{d x} (4 x + 3)

\frac{d}{d x} (4 x + 3) = 4

= - \frac{1}{( 4 x + 3 ) ^{2}} \cdot 4

Simplify

- \frac{1}{( 4 x + 3 ) ^{2}} \cdot 4 : - \frac{4}{( 4 x + 3 ) ^{2}}

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

x - x^{2} - x^{2} + 6 x, 0, 3.5

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0.03 \cdot (1 - cos (2 t))

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What is the derivative of 1/(4x+3) ?
The derivative of 1/(4x+3) is -4/((4x+3)^2)
What is the first derivative of 1/(4x+3) ?
The first derivative of 1/(4x+3) is -4/((4x+3)^2)