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Beliebt Rechnen >

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

Lösung

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

Lösung

3

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 + 0

Vereinfache

= 3

Beliebte Beispiele

derivative of x/(sqrt(a^2-x^2))

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

derivative of x^3-3x^2+3x

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

f (x) = x + e^{- 2 x}

derivative 6sin(t)

d er i v a t i v e 6 sin (t)

limit as x approaches 0 of x(3-cos(x^2))

x \to 0 lim (x (3 - cos (x^{2})))