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Beliebt Rechnen >

(\partial)/(\partial y)(x^3y+xcos(y))

Lösung

\frac{\partial}{\partial y} (x^{3} y + x cos (y))

Lösung

x^{3} - x sin (y)

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{3} y + x cos (y))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{3} y) + \frac{\partial}{\partial y} (x cos (y))

\frac{\partial}{\partial y} (x^{3} y) = x^{3}

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

= x^{3} - x sin (y)

Beliebte Beispiele

integral from-4 to 4 of sqrt(3)(16-y^2)

\int_{- 4}^{4} 3 (16 - y^{2}) d y

derivative of (2x^2+x-3/(2x+7))

\frac{d}{d x} (\frac{2 x ^{2} + x - 3}{2 x + 7})

integral of x^2e^2

\int x^{2} e^{2} d x

tangent f(x)=x^2+2,(3,11)

t an g e n t f (x) = x^{2} + 2, (3, 11)

\frac{d y}{d x} = (3 x)