(\partial)/(\partial u(v))((e^v)/(u(v)+v^4))

Lösung

\frac{\partial ^{2}}{\partial u ( v ) \partial v} (\frac{e ^{v}}{u ( v ) + v ^{4}})

- \frac{e ^{v} ( v ^{4} + u ( v ) - 2 ( 4 v ^{3} + \frac{\partial}{\partial v} ( u ( v ) ) ) )}{( u ( v ) + v ^{4} ) ^{3}}

Schritte zur Lösung

\frac{\partial ^{2}}{\partial u ( v ) \partial v} (\frac{e ^{v}}{u ( v ) + v ^{4}})

\frac{\partial}{\partial u ( v )} (\frac{e ^{v}}{u ( v ) + v ^{4}}) = - \frac{e ^{v}}{( u ( v ) + v ^{4} ) ^{2}}

= \frac{\partial}{\partial v} (- \frac{e ^{v}}{( u ( v ) + v ^{4} ) ^{2}})

\frac{\partial}{\partial v} (- \frac{e ^{v}}{( u ( v ) + v ^{4} ) ^{2}}) = - \frac{e ^{v} ( v ^{4} + u ( v ) - 2 ( 4 v ^{3} + \frac{\partial}{\partial v} ( u ( v ) ) ) )}{( u ( v ) + v ^{4} ) ^{3}}

= - \frac{e ^{v} ( v ^{4} + u ( v ) - 2 ( 4 v ^{3} + \frac{\partial}{\partial v} ( u ( v ) ) ) )}{( u ( v ) + v ^{4} ) ^{3}}

\int csc^{4} (x) cot^{6} (x) d x

d er i v a t i v e f (x) = \frac{9}{t}

im pl i c i t \frac{d y}{d x}, 25 x^{2} - 10 x y + 4 y^{2} = 100

\int \frac{( x ^{3} )}{9 - x ^{2}} d x

\frac{d ^{2}}{d x ^{2}} (x^{e^{x}})