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Beliebt Rechnen >

(\partial)/(\partial y)(sin(pi(4x-6y)))

Lösung

\frac{\partial}{\partial y} (sin (π (4 x - 6 y)))

Lösung

- 6 π cos (π (4 x - 6 y))

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (π (4 x - 6 y)))

Behandle

x

als Konstante

Wende die Kettenregel an:

cos (π (4 x - 6 y)) \frac{\partial}{\partial y} (π (4 x - 6 y))

= cos (π (4 x - 6 y)) \frac{\partial}{\partial y} (π (4 x - 6 y))

\frac{\partial}{\partial y} (π (4 x - 6 y)) = - 6 π

= cos (π (4 x - 6 y)) (- 6 π)

Vereinfache

= - 6 π cos (π (4 x - 6 y))

Beliebte Beispiele

limit as x approaches 0 of 1/(x^4)

x \to 0 lim (\frac{1}{x ^{4}})

\frac{d}{d y} (2 y^{2})

inverselaplace 1/((s^2+6s+25))

in v erse l a pl a ce \frac{1}{( s ^{2} + 6 s + 25 )}

integral of 4sin(t)

\int 4 sin (t) d t

y^{''}+9y=t^2e^{3t}+6

y^{^{''}} + 9 y = t^{2} e^{3 t} + 6