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Beliebt Rechnen >

(\partial)/(\partial x)(2x^2+9y^2+3)

Lösung

\frac{\partial}{\partial x} (2 x^{2} + 9 y^{2} + 3)

Lösung

4 x

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} + 9 y^{2} + 3)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{2}) + \frac{\partial}{\partial x} (9 y^{2}) + \frac{\partial}{\partial x} (3)

\frac{\partial}{\partial x} (2 x^{2}) = 4 x

\frac{\partial}{\partial x} (9 y^{2}) = 0

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

= 4 x + 0 + 0

Vereinfache

= 4 x

Beliebte Beispiele

(dx)/(dt)-4x=cos(4t)

\frac{d x}{d t} - 4 x = cos (4 t)

slopeintercept (-3)(0.1)

s l o p e in t erce pt (- 3) (0.1)

f (t) = e^{t} sin (t)

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

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

taylor f(x)=cos(x)

t a y l or f (x) = cos (x)