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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2+6y)

Lösung

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

Lösung

6 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (6 y) = 0

= 6 x + 0

Vereinfache

= 6 x

Beliebte Beispiele

derivative of-0.5x^2

\frac{d}{d x} (- 0.5 x^{2})

derivative g(x)=x^5+1/(x^5)

d er i v a t i v e g (x) = x^{5} + \frac{1}{x ^{5}}

limit as x approaches-3+of 1/(x^2-9)

x \to - 3 + lim (\frac{1}{x ^{2} - 9})

steigung (1,-19),(-2,-7)

s l o p e (1, - 19), (- 2, - 7)

integral of (tln(t))^2

\int (t ln (t))^{2} d t