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Beliebt Rechnen >

(\partial)/(\partial y)(ycos(x)+2xe^y)

Lösung

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

Lösung

cos (x) + 2 x e^{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (x) + 2 x e^{y}

Beliebte Beispiele

(\partial)/(\partial x)(x^2y^2+xy+2)

\frac{\partial}{\partial x} (x^{2} y^{2} + x y + 2)

derivative of 6x^{3/2}+1

\frac{d}{d x} (6 x^{\frac{3}{2}} + 1)

integral of cos^2(3x)

\int cos^{2} (3 x) d x

f(x)=arcsin(2x+1)

f (x) = arcsin (2 x + 1)

derivative of sqrt(x^2-2x+2)(x+1)

\frac{d}{d x} (x^{2} - 2 x + 2 (x + 1))