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Beliebt Rechnen >

(\partial ^2)/(\partial x\partial y)(y^4cos(2x))

Lösung

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

Lösung

- 8 y^{3} sin (2 x)

Schritte zur Lösung

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

\frac{\partial}{\partial x} (y^{4} cos (2 x)) = - 2 y^{4} sin (2 x)

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

\frac{\partial}{\partial y} (- 2 y^{4} sin (2 x)) = - 8 y^{3} sin (2 x)

= - 8 y^{3} sin (2 x)

Beliebte Beispiele

(\partial)/(\partial y)(sqrt(16-x^2-4y))

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

y^{''}-y=sin(2t)

y^{^{''}} - y = sin (2 t)

derivative f(x)=(e^x)/(x+3)

d er i v a t i v e f (x) = \frac{e ^{x}}{x + 3}

inverselaplace ((s+5))/((s^2+4s+13))

in v erse l a pl a ce \frac{( s + 5 )}{( s ^{2} + 4 s + 13 )}

derivative of x^2(1-x^3)

\frac{d}{d x} (x^{2} (1 - x)^{3})