What is (\partial)/(\partial x)(x^2*y*z) ?

The answer to (\partial)/(\partial x)(x^2*y*z) is 2xyz

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^2yz)

\frac{\partial}{\partial x} (x^{2} \cdot y \cdot z)

2 x yz

Solution steps

\frac{\partial}{\partial x} (x^{2} yz)

Treat

y, z

as constants

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= yz \cdot 2 x^{2 - 1}

Simplify

= 2 x yz

\int cos (x) sin (x) d x

\int \frac{1}{2} e^{- \frac{x}{2}} d x

\frac{5}{1 + x ^{2}}

\frac{d y}{d x} = (\frac{( 2 y + 5 )}{8 x + 7})^{2}

\int 3 sin (x) cos (x) d x

What is (\partial)/(\partial x)(x^2*y*z) ?
The answer to (\partial)/(\partial x)(x^2*y*z) is 2xyz