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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (3 y^{2}) = 0

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

\frac{\partial}{\partial x} (3) = 0

= 0 + 2 x - 0

Vereinfache

= 2 x

Beliebte Beispiele

y^{^{'}} = cos (2 x)

derivative 25cos((pix)/(50))

d er i v a t i v e 25 cos (\frac{π x}{50})

f(x)=2\sqrt[3]{x}

f (x) = 2 3 x

limit as x approaches infinity of e^2

x \to \infty lim (e^{2})

integral of (x^2-1)/(x+1)

\int \frac{x ^{2} - 1}{x + 1} d x