What is (\partial)/(\partial x)(6yx^5-12y^2x^2) ?

The answer to (\partial)/(\partial x)(6yx^5-12y^2x^2) is 30yx^4-24y^2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(6yx^5-12y^2x^2)

\frac{\partial}{\partial x} (6 y x^{5} - 12 y^{2} x^{2})

30 y x^{4} - 24 y^{2} x

Solution steps

\frac{\partial}{\partial x} (6 y x^{5} - 12 y^{2} x^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y x^{5}) - \frac{\partial}{\partial x} (12 y^{2} x^{2})

\frac{\partial}{\partial x} (6 y x^{5}) = 30 y x^{4}

\frac{\partial}{\partial x} (12 y^{2} x^{2}) = 24 y^{2} x

= 30 y x^{4} - 24 y^{2} x

\int \frac{m ^{3}}{( m ^{2} + 1 ) ^{3}} d m

(- 2, 5), (2, - 7)

x \to 2 - lim (\frac{- 2}{x ^{2} - 4})

\frac{\partial}{\partial y} (x - 5 y)

x \to 2 lim (7 - 3 x^{2} - x^{3})

What is (\partial)/(\partial x)(6yx^5-12y^2x^2) ?
The answer to (\partial)/(\partial x)(6yx^5-12y^2x^2) is 30yx^4-24y^2x