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Beliebt Rechnen >

(\partial)/(\partial y)(xyz+sin(2xy))

Lösung

\frac{\partial}{\partial y} (x yz + sin (2 x y))

Lösung

x z + cos (2 x y) \cdot 2 x

Schritte zur Lösung

\frac{\partial}{\partial y} (x yz + sin (2 x y))

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x yz) + \frac{\partial}{\partial y} (sin (2 x y))

\frac{\partial}{\partial y} (x yz) = x z

\frac{\partial}{\partial y} (sin (2 x y)) = cos (2 x y) \cdot 2 x

= x z + cos (2 x y) \cdot 2 x

Beliebte Beispiele

fläche 5cos(pix),12x^3-3,0.5,-0.5

a re a 5 cos (π x), 12 x^{3} - 3, 0.5, - 0.5

taylor 1/(1+x),1

t a y l or \frac{1}{1 + x}, 1

fläche f(x)=x^3-6x,g(x)=-2x

a re a f (x) = x^{3} - 6 x, g (x) = - 2 x

derivative 36t^2

d er i v a t i v e 36 t^{2}

integral of ((y^4+2y^2-1)/(sqrt(y)))

\int (\frac{y ^{4} + 2 y ^{2} - 1}{y}) d y