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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (x) + 0

Vereinfache

= cos (x)

Beliebte Beispiele

integral of 4x+sqrt(x)

\int 4 x + x d x

steigung 5x^3+10x^2-2x+1

s l o p e 5 x^{3} + 10 x^{2} - 2 x + 1

derivative x^2-2x+1

d er i v a t i v e x^{2} - 2 x + 1

2xy+6x+(x^2-4)y^'=0

2 x y + 6 x + (x^{2} - 4) y^{^{'}} = 0

derivative y=(9sqrt(x)+5)x^2

d er i v a t i v e y = (9 x + 5) x^{2}