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Beliebt Rechnen >

derivative of y^2+x^2

Lösung

\frac{d}{d x} (y^{2} + x^{2})

Lösung

2 y \frac{d y}{d x} + 2 x

Schritte zur Lösung

\frac{d}{d x} (y^{2} + x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (y^{2}) + \frac{d}{d x} (x^{2})

\frac{d}{d x} (y^{2}) = 2 y \frac{d y}{d x}

\frac{d}{d x} (x^{2}) = 2 x

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

Beliebte Beispiele

x^2((dy)/(dx))=y-xy

x^{2} (\frac{d y}{d x}) = y - x y

fläche y=4-x^2,(1,2)

a re a y = 4 - x^{2}, (1, 2)

(dy)/(dx)= y/(y+x)

\frac{d y}{d x} = \frac{y}{y + x}

limit as x approaches infinity of x+1/2

x \to \infty lim (x + \frac{1}{2})

(\partial)/(\partial x)(4ycos(9x))

\frac{\partial}{\partial x} (4 y cos (9 x))