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Beliebt Rechnen >

(d^2)/(dy^2)(ln(sqrt(x^2+y^2)))

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

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

Beliebte Beispiele

integral of 1/(cos^2(2x))

\int \frac{1}{cos ^{2} ( 2 x )} d x

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

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

(\partial)/(\partial x)(2^{1/x})

\frac{\partial}{\partial x} (2^{\frac{1}{x}})

steigung (3,5),(8,7)

s l o p e (3, 5), (8, 7)

integral of (3x^2-6x^2+sqrt(x))/(x^3)

\int \frac{3 x ^{2} - 6 x ^{2} + x}{x ^{3}} d x