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Popular >

(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}}

Popular Examples

implicit (dy)/(dx),y^3=x+y implicit derivative

\frac{d y}{d x}, y^{3} = x + y

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\int x + \frac{1}{x} d x

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

slope of (0,2),(4,-2)slope

(0, 2), (4, - 2)

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\frac{x}{x ^{2} - 6}

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)