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Beliebt Rechnen >

(\partial)/(\partial y)(sin(x)+cos(y))

Lösung

\frac{\partial}{\partial y} (sin (x) + cos (y))

Lösung

- sin (y)

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (x) + cos (y))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (sin (x)) + \frac{\partial}{\partial y} (cos (y))

\frac{\partial}{\partial y} (sin (x)) = 0

\frac{\partial}{\partial y} (cos (y)) = - sin (y)

= 0 - sin (y)

Vereinfache

= - sin (y)

Beliebte Beispiele

d x + \frac{1}{y ^{4}} d y = 0

integral of sqrt(1+cos(pix))

\int 1 + cos (π x) d x

derivative f(x)=cos(cos(x))

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

derivative of ln(24x)

\frac{d}{d x} (ln (24 x))

integral of (1+cot^2(θ))(csc^2(θ))

\int (1 + cot^{2} (θ)) (csc^{2} (θ)) d θ