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Popular >

(d^2)/(dx^2)(ln(1+x))

Solution

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

Solution

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

Solution steps

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

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

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

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

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

Popular Examples

tangent of f(x)=6e^x+x,\at x=0 tangent of

f (x) = 6 e^{x} + x, at x = 0

tangent of f(x)=2xsqrt(x),\at x=1 tangent of

f (x) = 2 x x, at x = 1

area y=2sqrt(x),y=2x area

y = 2 x, y = 2 x

y^{''}-y^'-2y=e^x+x

y^{^{''}} - y^{^{'}} - 2 y = e^{x} + x

derivative of 1/9 ln(ln(x)+3)

\frac{d}{d x} (\frac{1}{9} ln (ln (x)) + 3)

Frequently Asked Questions (FAQ)

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