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Beliebt Rechnen >

(\partial)/(\partial x)(2x^3y+4)

Lösung

\frac{\partial}{\partial x} (2 x^{3} y + 4)

Lösung

6 x^{2} y

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{3} y + 4)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{3} y) + \frac{\partial}{\partial x} (4)

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

\frac{\partial}{\partial x} (4) = 0

= 6 y x^{2} + 0

Vereinfache

= 6 x^{2} y

Beliebte Beispiele

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

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

integral from-infinity to 0 of 1/(5-3x)

\int_{- \infty}^{0} \frac{1}{5 - 3 x} d x

y^'+ytan(t)=(tan(t))/(cos(t))

y^{^{'}} + y tan (t) = \frac{tan ( t )}{cos ( t )}

integral of x^3In(x)

\int x^{3} I n (x) d x

tangent e^t+3,\at t=0

t an g e n t e^{t} + 3, at t = 0