What is (\partial)/(\partial y)(9ze^{xyz}) ?

The answer to (\partial)/(\partial y)(9ze^{xyz}) is 9e^{zxy}z^2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(9ze^{xyz})

\frac{\partial}{\partial y} (9 z e^{x yz})

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

Solution steps

\frac{\partial}{\partial y} (9 z e^{x yz})

Treat

z, x

as constants

Take the constant out:

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

= 9 z \frac{\partial}{\partial y} (e^{x yz})

Apply the chain rule:

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

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

\frac{\partial}{\partial y} (x yz) = z x

= 9 z e^{x yz} z x

Simplify

9 z e^{x yz} z x : 9 e^{z x y} z^{2} x

= 9 e^{z x y} z^{2} x

\int_{0}^{1} (e^{- 0.1 t}) d t

\int_{0}^{π} 2 sin (n x) d x

f (x) = 14 x

\frac{d}{d x} (2 arctan (e^{x}))

\frac{d}{d x} (8 (x + 2)^{\frac{3}{2}})

What is (\partial)/(\partial y)(9ze^{xyz}) ?
The answer to (\partial)/(\partial y)(9ze^{xyz}) is 9e^{zxy}z^2x