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)(e^{3xyz-2})

Lösung

\frac{\partial}{\partial x} (e^{3 x yz - 2})

Lösung

e^{3 x yz - 2} \cdot 3 yz

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{3 x yz - 2})

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

e^{3 x yz - 2} \frac{\partial}{\partial x} (3 x yz - 2)

= e^{3 x yz - 2} \frac{\partial}{\partial x} (3 x yz - 2)

\frac{\partial}{\partial x} (3 x yz - 2) = 3 yz

= e^{3 x yz - 2} \cdot 3 yz

Beliebte Beispiele

derivative of (3x+1/(x^2+1))

\frac{d}{d x} (\frac{3 x + 1}{x ^{2} + 1})

limit as x approaches pi/2 of (sin(x))/x

x \to \frac{π}{2} lim (\frac{sin ( x )}{x})

fläche x=(y^2)/4 ,x= y/2+2

a re a x = \frac{y ^{2}}{4}, x = \frac{y}{2} + 2

sum from n=0 to infinity of nsin(npi)

n = 0 \sum \infty n sin (nπ)

integral of x/(x(x+4))

\int \frac{x}{x ( x + 4 )} d x