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Beliebt Rechnen >

(\partial)/(\partial y)(nsin(2(mx+ny)))

Lösung

\frac{\partial}{\partial y} (n sin (2 (m x + n y)))

Lösung

2 n^{2} cos (2 (m x + n y))

Schritte zur Lösung

\frac{\partial}{\partial y} (n sin (2 (m x + n y)))

Behandle

n, m, x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= n \frac{\partial}{\partial y} (sin (2 (m x + n y)))

Wende die Kettenregel an:

cos (2 (m x + n y)) \frac{\partial}{\partial y} (2 (m x + n y))

= cos (2 (m x + n y)) \frac{\partial}{\partial y} (2 (m x + n y))

\frac{\partial}{\partial y} (2 (m x + n y)) = 2 n

= n cos (2 (m x + n y)) \cdot 2 n

Vereinfache

n cos (2 (m x + n y)) \cdot 2 n : 2 n^{2} cos (2 (m x + n y))

= 2 n^{2} cos (2 (m x + n y))

Beliebte Beispiele

inverselaplace (30)/((10s+1)(s^2+4))

in v erse l a pl a ce \frac{30}{( 10 s + 1 ) ( s ^{2} + 4 )}

derivative x^{x+2}

d er i v a t i v e x^{x + 2}

derivative of (x^2-64/(x-8))

\frac{d}{d x} (\frac{x ^{2} - 64}{x - 8})

derivative f(x)=sqrt(3-x)

d er i v a t i v e f (x) = 3 - x

limit as x approaches-1 of pi

x \to - 1 lim (π)