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Beliebt Rechnen >

(\partial)/(\partial x)(20-(3x^2+y^2))

Lösung

\frac{\partial}{\partial x} (20 - (3 x^{2} + y^{2}))

Lösung

- 6 x

Schritte zur Lösung

\frac{\partial}{\partial x} (20 - (3 x^{2} + y^{2}))

Vereinfache

20 - (3 x^{2} + y^{2}) : 20 - 3 x^{2} - y^{2}

= \frac{\partial}{\partial x} (20 - 3 x^{2} - y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (20) - \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (y^{2})

\frac{\partial}{\partial x} (20) = 0

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

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

= 0 - 6 x - 0

Vereinfache

= - 6 x

Beliebte Beispiele

(\partial)/(\partial y)(-e^xln(y))

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

derivative of (8x^2/(2x-10))

\frac{d}{d x} (\frac{8 x ^{2}}{2 x - 10})

derivative of x/t

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

limit as 5 approaches 1 of (1/5)/(5-1)

5 \to 1 lim (\frac{\frac{1}{5}}{5 - 1})

fläche y= 8/x ,y=2x,x=4

a re a y = \frac{8}{x}, y = 2 x, x = 4