What is (\partial)/(\partial x)(ze^{xyz}) ?

The answer to (\partial)/(\partial x)(ze^{xyz}) is e^{zxy}z^2y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(ze^{xyz})

\frac{\partial}{\partial x} (z e^{x yz})

e^{z x y} z^{2} y

Solution steps

\frac{\partial}{\partial x} (z e^{x yz})

Treat

z, y

as constants

Take the constant out:

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

= z \frac{\partial}{\partial x} (e^{x yz})

Apply the chain rule:

e^{x yz} \frac{\partial}{\partial x} (x yz)

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

\frac{\partial}{\partial x} (x yz) = zy

= z e^{x yz} zy

Simplify

z e^{x yz} zy : e^{z x y} z^{2} y

= e^{z x y} z^{2} y

\frac{1}{1 - x}

x \cdot \frac{d y}{d x} = y^{2} - y

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

f (t) = cos (4 t)

arcsin (8 x + 1)

What is (\partial)/(\partial x)(ze^{xyz}) ?
The answer to (\partial)/(\partial x)(ze^{xyz}) is e^{zxy}z^2y