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)((7x+8y)^3)

Lösung

\frac{\partial}{\partial x} ((7 x + 8 y)^{3})

Lösung

21 (7 x + 8 y)^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} ((7 x + 8 y)^{3})

Behandle

y

als Konstante

Wende die Kettenregel an:

3 (7 x + 8 y)^{2} \frac{\partial}{\partial x} (7 x + 8 y)

= 3 (7 x + 8 y)^{2} \frac{\partial}{\partial x} (7 x + 8 y)

\frac{\partial}{\partial x} (7 x + 8 y) = 7

= 3 (7 x + 8 y)^{2} \cdot 7

Vereinfache

= 21 (7 x + 8 y)^{2}

Beliebte Beispiele

limit as x approaches infinity of (x^2)/(sqrt(x^4+2))

x \to \infty lim (\frac{x ^{2}}{x ^{4} + 2})

2txdx+(t^2-x^2)dt=0

2 t x d x + (t^{2} - x^{2}) d t = 0

limit as x approaches 3-of x^2+2x

x \to 3 - lim (x^{2} + 2 x)

derivative of 8x^7

\frac{d}{d x} (8 x^{7})

integral of tan(X)

\int tan (X) d X