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Beliebt Rechnen >

(\partial)/(\partial x)(5-3x^2-y^2)

Lösung

\frac{\partial}{\partial x} (5 - 3 x^{2} - y^{2})

Lösung

- 6 x

Schritte zur Lösung

\frac{\partial}{\partial x} (5 - 3 x^{2} - y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (5) - \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (y^{2})

\frac{\partial}{\partial x} (5) = 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

(dy)/(dx)-x^2y=0

\frac{d y}{d x} - x^{2} y = 0

integral of x^7[0.7]

\int x^{7} [0.7] d x

derivative sqrt(1-x)

d er i v a t i v e 1 - x

derivative of sec(x*tan(x))

\frac{d}{d x} (sec (x) \cdot tan (x))

derivative tan(3x^2)

d er i v a t i v e tan (3 x^{2})