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Beliebt Rechnen >

(\partial)/(\partial x)(xcos(y^2)+yz)

Lösung

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

Lösung

cos (y^{2})

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (yz) = 0

= cos (y^{2}) + 0

Vereinfache

= cos (y^{2})

Beliebte Beispiele

integral of (x^2+1)/(x^2-3)

\int \frac{x ^{2} + 1}{x ^{2} - 3} d x

limit as x approaches 0 of 1-x^3

x \to 0 lim (1 - x^{3})

integral of x/(x^{2_{-1)}}

\int \frac{x}{x ^{2_{- 1}}} d x

integral from 0 to 1 of (3x^2+2x+1)

\int_{0}^{1} (3 x^{2} + 2 x + 1) d x

derivative of 2/(sqrt(1-x))

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