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Popular >

derivative of ln^2(x+1)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of (x^2+x^{1/2})

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

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

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

(\partial)/(\partial x)(2^{xy})

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

derivative of f(x)= 2/((1-x)^3)derivative of

f (x) = \frac{2}{( 1 - x ) ^{3}}

(\partial}{\partial x}(e^{\frac{x^2)/2})

\frac{\partial}{\partial x} (e^{\frac{x ^{2}}{2}})

Frequently Asked Questions (FAQ)

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