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Popular Calculus >

(d^3)/(dx^3)(ln(x+1))

Solution

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

Solution

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

Solution steps

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

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

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

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

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

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

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

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Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(ln(x+1)) ?
The answer to (d^3)/(dx^3)(ln(x+1)) is 2/((x+1)^3)