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Beliebt Rechnen >

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

Lösung

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

Lösung

z cos (x)

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

= z cos (x) + 0

Vereinfache

= z cos (x)

Beliebte Beispiele

integral of x/((x+2)^{2/3)}

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

limit as x approaches 0 of cos(pi/2)

x \to 0 lim (cos (\frac{π}{2}))

derivative y=8e^xcos(x)

d er i v a t i v e y = 8 e^{x} cos (x)

integral of ((x+1))/x

\int \frac{( x + 1 )}{x} d x

y^{^{'}} = x + y, y (0) = 7