(\partial ^2)/(\partial x\partial y)(ln(3+x^2y^2))

Lösung

\frac{\partial ^{2}}{\partial x \partial y} (ln (3 + x^{2} y^{2}))

\frac{12 x y}{( 3 + x ^{2} y ^{2} ) ^{2}}

Schritte zur Lösung

\frac{\partial ^{2}}{\partial x \partial y} (ln (3 + x^{2} y^{2}))

\frac{\partial}{\partial x} (ln (3 + x^{2} y^{2})) = \frac{2 x y ^{2}}{3 + x ^{2} y ^{2}}

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

\frac{\partial}{\partial y} (\frac{2 x y ^{2}}{3 + x ^{2} y ^{2}}) = \frac{12 x y}{( 3 + x ^{2} y ^{2} ) ^{2}}

= \frac{12 x y}{( 3 + x ^{2} y ^{2} ) ^{2}}

x \to 0 - lim (\frac{sin ( ∣ x ∣ )}{x})

\int (3 + 2 x) d x

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

\frac{\partial}{\partial s} (\frac{s - r}{t})

\frac{d}{d x} (\frac{x}{2 - x})