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Popular >

(d^4)/(dx^4)(ln(1+x))

Solution

\frac{d ^{4}}{d x ^{4}} (ln (1 + x))

Solution

- \frac{6}{( 1 + x ) ^{4}}

Solution steps

\frac{d ^{4}}{d x ^{4}} (ln (1 + x))

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

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

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

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

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

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

\frac{d}{d x} (\frac{2}{( 1 + x ) ^{3}}) = - \frac{6}{( 1 + x ) ^{4}}

= - \frac{6}{( 1 + x ) ^{4}}

Popular Examples

y^{^{'}} + x = 0

integral of sqrt(8-4x-4x^2)

\int 8 - 4 x - 4 x^{2} d x

limit as x approaches 0 of x^2+4x+2

x \to 0 lim (x^{2} + 4 x + 2)

sum from n=1 to infinity of 1/(ln(n+1))

n = 1 \sum \infty \frac{1}{ln ( n + 1 )}

y^'=k(y-9-10cos(2*pi*t))

y^{^{'}} = k (y - 9 - 10 cos (2 \cdot π \cdot t))

Frequently Asked Questions (FAQ)

What is (d^4)/(dx^4)(ln(1+x)) ?
The answer to (d^4)/(dx^4)(ln(1+x)) is -6/((1+x)^4)