What is the derivative of ln(2x+3) ?

The derivative of ln(2x+3) is 2/(2x+3)

What is the first derivative of ln(2x+3) ?

The first derivative of ln(2x+3) is 2/(2x+3)

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derivative of

ln (2 x + 3)

\frac{2}{2 x + 3}

Solution steps

\frac{d}{d x} (ln (2 x + 3))

Apply the chain rule:

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

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

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

= \frac{1}{2 x + 3} \cdot 2

Simplify

\frac{1}{2 x + 3} \cdot 2 : \frac{2}{2 x + 3}

= \frac{2}{2 x + 3}

\frac{d}{d x} (\frac{8}{sin ( x )} + \frac{1}{cot ( x )})

\int_{0}^{\frac{π}{2}} cos^{2} (2 x) d x

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

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

f (θ) = θ cos (θ) sin (θ)

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