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Beliebt Rechnen >

(\partial)/(\partial y)(sin(x^2-y))

Lösung

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

Lösung

- cos (x^{2} - y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (x^{2} - y) = - 1

= cos (x^{2} - y) (- 1)

Vereinfache

= - cos (x^{2} - y)

Beliebte Beispiele

integral of (tan^3(x))

\int (tan^{3} (x)) d x

fläche y=x^2,y=x+2,0

a re a y = x^{2}, y = x + 2, 0

fläche y= x/(x^2-4x+5),y= 3/(x^2-4x+5),x=0

a re a y = \frac{x}{x ^{2} - 4 x + 5}, y = \frac{3}{x ^{2} - 4 x + 5}, x = 0

steigung y=(x^3+1)/(6x),x=1

s l o p e y = \frac{x ^{3} + 1}{6 x}, x = 1

y^'+4y=e^{-x},y(0)=10

y^{^{'}} + 4 y = e^{- x}, y (0) = 10