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

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

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

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

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

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

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = (2 x - 1)^{2}, g = ln (3 x + 4)

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

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

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

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

\int 20 e^{5 x} d x

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

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