(\partial ^2)/(\partial x\partial y)(ln(4+x^2y^2))

Lösung

\frac{\partial ^{2}}{\partial x \partial y} (ln (4 + x^{2} y^{2}))

\frac{16 x y}{( 4 + x ^{2} y ^{2} ) ^{2}}

Schritte zur Lösung

\frac{\partial ^{2}}{\partial x \partial y} (ln (4 + x^{2} y^{2}))

\frac{\partial}{\partial x} (ln (4 + x^{2} y^{2})) = \frac{2 x y ^{2}}{4 + x ^{2} y ^{2}}

= \frac{\partial}{\partial y} (\frac{2 x y ^{2}}{4 + x ^{2} y ^{2}})

\frac{\partial}{\partial y} (\frac{2 x y ^{2}}{4 + x ^{2} y ^{2}}) = \frac{16 x y}{( 4 + x ^{2} y ^{2} ) ^{2}}

= \frac{16 x y}{( 4 + x ^{2} y ^{2} ) ^{2}}

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

x \to 2 lim (7)

d er i v a t i v e (2 x - 3)^{4} (x^{2} + x + 1)^{5}

\frac{d}{d t} (A t e^{t})

\frac{d}{d x} (\frac{- 6 x}{2 x - 1})