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Beliebt Rechnen >

(\partial)/(\partial y)(sin(3x-4y))

Lösung

\frac{\partial}{\partial y} (sin (3 x - 4 y))

Lösung

- 4 cos (3 x - 4 y)

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (3 x - 4 y))

Behandle

x

als Konstante

Wende die Kettenregel an:

cos (3 x - 4 y) \frac{\partial}{\partial y} (3 x - 4 y)

= cos (3 x - 4 y) \frac{\partial}{\partial y} (3 x - 4 y)

\frac{\partial}{\partial y} (3 x - 4 y) = - 4

= cos (3 x - 4 y) (- 4)

Vereinfache

= - 4 cos (3 x - 4 y)

Beliebte Beispiele

integral of 1/(x^2+5)

\int \frac{1}{x ^{2} + 5} d x

limit as x approaches 2 of (-2)/(x(x-2))

x \to 2 lim (\frac{- 2}{x ( x - 2 )})

derivative f(x)=(e^x)/(4x+1)

d er i v a t i v e f (x) = \frac{e ^{x}}{4 x + 1}

integral of (3x^2+2)/((x^3+2x)^2)

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

tangent y=(2x)/(x+1),(1,1)

t an g e n t y = \frac{2 x}{x + 1}, (1, 1)