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Popular >

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

Solution

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

Solution

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

Solution steps

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

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

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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