What is (\partial)/(\partial x)(12x^2y^3) ?

The answer to (\partial)/(\partial x)(12x^2y^3) is 24xy^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(12x^2y^3)

\frac{\partial}{\partial x} (12 x^{2} y^{3})

24 x y^{3}

Solution steps

\frac{\partial}{\partial x} (12 x^{2} y^{3})

Treat

y

as a constant

Take the constant out:

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

= 12 y^{3} \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 12 y^{3} \cdot 2 x^{2 - 1}

Simplify

= 24 x y^{3}

x \to 0 + lim ((e^{x} + x)^{\frac{3}{x}})

\int \frac{1}{x ^{2} + 2 x + 3} d x

\frac{d y}{d x} = \frac{x}{1 + 2 y}

f (x) = \frac{x ^{3}}{3} + 2 x^{2} + 13 x - 5

n = 1 \sum \infty \frac{n}{ln ( 2 n )}

What is (\partial)/(\partial x)(12x^2y^3) ?
The answer to (\partial)/(\partial x)(12x^2y^3) is 24xy^3