What is (\partial)/(\partial x)(x^3y^2) ?

The answer to (\partial)/(\partial x)(x^3y^2) is 3x^2y^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^3y^2)

\frac{\partial}{\partial x} (x^{3} y^{2})

3 x^{2} y^{2}

Solution steps

\frac{\partial}{\partial x} (x^{3} y^{2})

Treat

y

as a constant

Take the constant out:

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

= y^{2} \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

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

= y^{2} \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} y^{2}

\int 7 x e^{- x^{2}} d x

y = ln (ln (2 x))

\frac{6}{( s ^{2} + 9 ) ^{2}}

\frac{d}{d t} (sin (wt))

\frac{1}{s ^{3} + 6 s}

What is (\partial)/(\partial x)(x^3y^2) ?
The answer to (\partial)/(\partial x)(x^3y^2) is 3x^2y^2