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)(amx^bmy^{1-b})

Lösung

\frac{\partial}{\partial x} (am x^{b} m y^{1 - b})

Lösung

a m^{2} y^{1 - b} b x^{b - 1}

Schritte zur Lösung

\frac{\partial}{\partial x} (am x^{b} m y^{1 - b})

Vereinfache

am x^{b} m y^{1 - b} : a m^{2} x^{b} y^{1 - b}

= \frac{\partial}{\partial x} (a m^{2} x^{b} y^{1 - b})

Behandle

a, m, b, y

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= a m^{2} y^{1 - b} \frac{\partial}{\partial x} (x^{b})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= a m^{2} y^{1 - b} b x^{b - 1}

Beliebte Beispiele

derivative of arccos(x^2)

\frac{d}{d x} (arccos (x^{2}))

integral from 0 to 1 of (2x)/(e^{2x)}

\int_{0}^{1} \frac{2 x}{e ^{2 x}} d x

tangent y=2x^3+3x^2-12x+7

t an g e n t y = 2 x^{3} + 3 x^{2} - 12 x + 7

derivative of e^{2x}(2x+1)

\frac{d}{d x} (e^{2 x} (2 x + 1))

limit as h approaches 0 of (sqrt(49+h)-7)/h

h \to 0 lim (\frac{49 + h - 7}{h})