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Popular >

derivative of f(x)=ln(2x+1)

Solution

derivative of

f (x) = ln (2 x + 1)

Solution

\frac{2}{2 x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of (e^x)/(8x^2+1)derivative of

\frac{e ^{x}}{8 x ^{2} + 1}

integral of (sqrt(x))/((2+x^{3/2))^3}

\int \frac{x}{( 2 + x ^{\frac{3}{2}} ) ^{3}} d x

integral from 1 to 4 of sqrt(5-x)

\int_{1}^{4} 5 - x d x

integral from 0 to 4 of 1/(sqrt(64-x^2))

\int_{0}^{4} \frac{1}{64 - x ^{2}} d x

(\partial)/(\partial x)(5xye^{-x^2-y^2})

\frac{\partial}{\partial x} (5 x y e^{- x^{2} - y^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=ln(2x+1) ?
The derivative of f(x)=ln(2x+1) is 2/(2x+1)
What is the first derivative of f(x)=ln(2x+1) ?
The first derivative of f(x)=ln(2x+1) is 2/(2x+1)