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Beliebt Rechnen >

(\partial)/(\partial x)(xz-e^xsin(y))

Lösung

\frac{\partial}{\partial x} (x z - e^{x} sin (y))

Lösung

z - sin (y) e^{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (x z - e^{x} sin (y))

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x z) - \frac{\partial}{\partial x} (e^{x} sin (y))

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

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

= z - sin (y) e^{x}

Beliebte Beispiele

limit as x approaches-2 of (5x^2+6)/x

x \to - 2 lim (\frac{5 x ^{2} + 6}{x})

(1/((1-x)^2))^'

(\frac{1}{( 1 - x ) ^{2}})^{^{'}}

fläche y= 1/(4x^2),y=x,y= x/(10)

a re a y = \frac{1}{4 x ^{2}}, y = x, y = \frac{x}{10}

derivative of (x-1/(x^2+4))

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

x^2(dy)/(dx)=xy+3y^2

x^{2} \frac{d y}{d x} = x y + 3 y^{2}