de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

6 x y^{4}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (3 x^{2} y^{4}) = 6 y^{4} x

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

= 6 y^{4} x - 0

Vereinfache

= 6 x y^{4}

Beliebte Beispiele

integral of (5x-7)e^{5x-7}

\int (5 x - 7) e^{5 x - 7} d x

derivative of (2+3x/(x^2))

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

integral of sin^{18}(x)cos^3(x)

\int sin^{18} (x) cos^{3} (x) d x

derivative g(x)=4x^2(x^3+5x)

d er i v a t i v e g (x) = 4 x^{2} (x^{3} + 5 x)

integral of (-8sec(x)tan(x)+5sec^2(x))

\int (- 8 sec (x) tan (x) + 5 sec^{2} (x)) d x