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

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

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

3 x^{2} + 3 y^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

6 - 7 x

\frac{d}{d x} (sin^{12} (3 x^{4} - x))

\frac{d y}{d x} = \frac{( 2 + y ) ^{2}}{2 x - 1}

3 t^{2} - 9 t

(4 x + 5)^{\frac{1}{5}}

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