What is (\partial)/(\partial x)(7x^{3y}) ?

The answer to (\partial)/(\partial x)(7x^{3y}) is 21yx^{3y-1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(7x^{3y})

\frac{\partial}{\partial x} (7 x^{3 y})

21 y x^{3 y - 1}

Solution steps

\frac{\partial}{\partial x} (7 x^{3 y})

Treat

y

as a constant

Take the constant out:

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

= 7 \frac{\partial}{\partial x} (x^{3 y})

Apply the Power Rule:

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

= 7 \cdot 3 y x^{3 y - 1}

Simplify

= 21 y x^{3 y - 1}

\int \frac{x ^{7}}{( 1 + x ^{4} ) ^{2}} d x

(\frac{( e ^{6} )}{( e ^{4} )})^{- 1}

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + 4})

x \frac{d v}{d x} = \frac{1 - 4 v ^{2}}{3 v}

(x^{2} + y^{2} - 7) d x = (y + x y) d y, y (0) = 1

What is (\partial)/(\partial x)(7x^{3y}) ?
The answer to (\partial)/(\partial x)(7x^{3y}) is 21yx^{3y-1}