What is (\partial)/(\partial x)(5x^3y^6) ?

The answer to (\partial)/(\partial x)(5x^3y^6) is 15x^2y^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(5x^3y^6)

\frac{\partial}{\partial x} (5 x^{3} y^{6})

15 x^{2} y^{6}

Solution steps

\frac{\partial}{\partial x} (5 x^{3} y^{6})

Treat

y

as a constant

Take the constant out:

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

= 5 y^{6} \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

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

= 5 y^{6} \cdot 3 x^{3 - 1}

Simplify

= 15 x^{2} y^{6}

\frac{\partial}{\partial x} (2 y - x)

6 - t

\frac{d}{d x} (\frac{- ( x + 1 )}{( x - 1 ) ^{3}})

\int cos^{4} (7 x + 3) d x

\frac{d y}{d x} = 4 y + a

What is (\partial)/(\partial x)(5x^3y^6) ?
The answer to (\partial)/(\partial x)(5x^3y^6) is 15x^2y^6