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Beliebt Rechnen >

derivative of sqrt(2-x)-sqrt(y+1)

Lösung

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

Lösung

- \frac{1}{2 2 - x} - \frac{\frac{d y}{d x}}{2 y + 1}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 - x) - \frac{d}{d x} (y + 1)

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

\frac{d}{d x} (y + 1) = \frac{\frac{d y}{d x}}{2 y + 1}

= - \frac{1}{2 2 - x} - \frac{\frac{d y}{d x}}{2 y + 1}

Beliebte Beispiele

limit as x approaches 1 of 1+x^2

x \to 1 lim (1 + x^{2})

derivative of 100

\frac{d}{d x} (100)

limit as x approaches 6 of (6/x-1)/(x-6)

x \to 6 lim (\frac{\frac{6}{x} - 1}{x - 6})

derivative of x/pi

\frac{d}{d x} (\frac{x}{π})

implicit (dy)/(dx), x/y =0

im pl i c i t \frac{d y}{d x}, \frac{x}{y} = 0