What is (\partial)/(\partial y)(7xy^6) ?

The answer to (\partial)/(\partial y)(7xy^6) is 42xy^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(7xy^6)

\frac{\partial}{\partial y} (7 x y^{6})

42 x y^{5}

Solution steps

\frac{\partial}{\partial y} (7 x y^{6})

Treat

x

as a constant

Take the constant out:

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

= 7 x \frac{\partial}{\partial y} (y^{6})

Apply the Power Rule:

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

= 7 x \cdot 6 y^{6 - 1}

Simplify

= 42 x y^{5}

3 x^{3} - 6 x^{2} + 4 x + 21

\int \frac{7 x + 3}{( x + 4 ) ( x - 1 )} d x

x \to 1 lim (\frac{\frac{1}{x} - 1}{1 - x})

x \to 0 lim (\frac{18}{x ^{2}})

\frac{d}{d x} (\frac{9}{( x - 8 ) ^{2}})

What is (\partial)/(\partial y)(7xy^6) ?
The answer to (\partial)/(\partial y)(7xy^6) is 42xy^5