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)(4x-3x^4y^2)

Lösung

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

Lösung

4 - 12 y^{2} x^{3}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3 x^{4} y^{2}) = 12 y^{2} x^{3}

= 4 - 12 y^{2} x^{3}

Beliebte Beispiele

integral of (t^5)/(sqrt(t^2+2))

\int \frac{t ^{5}}{t ^{2} + 2} d t

integral of 1/(y^{3/2)}

\int \frac{1}{y ^{\frac{3}{2}}} d y

(\partial)/(\partial x)(e^xxy+e^xy^2)

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

((2x+y+1)dy)/(dx)=1

\frac{( 2 x + y + 1 ) d y}{d x} = 1

d/(dz)((az^2)/(a^2+z^2))

\frac{d}{d z} (\frac{a z ^{2}}{a ^{2} + z ^{2}})