What is (\partial)/(\partial y)(5ze^{xyz}) ?

The answer to (\partial)/(\partial y)(5ze^{xyz}) is 5e^{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)(5ze^{xyz})

\frac{\partial}{\partial y} (5 z e^{x yz})

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

Solution steps

\frac{\partial}{\partial y} (5 z e^{x yz})

Treat

z, x

as constants

Take the constant out:

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

= 5 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

= 5 z e^{x yz} z x

Simplify

5 z e^{x yz} z x : 5 e^{z x y} z^{2} x

= 5 e^{z x y} z^{2} x

\int e^{- x} sin (2 x) d x

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

h \to 0 lim (\frac{( 18 h + 1 - 1 )}{h})

\int \frac{9 x ^{2} + 16}{x ^{4}} d x

\int 2 x (x^{2} - 1) d x

What is (\partial)/(\partial y)(5ze^{xyz}) ?
The answer to (\partial)/(\partial y)(5ze^{xyz}) is 5e^{zxy}z^2x