What is (\partial)/(\partial x)(3x^2+6xy) ?

The answer to (\partial)/(\partial x)(3x^2+6xy) is 6x+6y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(3x^2+6xy)

\frac{\partial}{\partial x} (3 x^{2} + 6 x y)

6 x + 6 y

Solution steps

\frac{\partial}{\partial x} (3 x^{2} + 6 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3 x^{2}) + \frac{\partial}{\partial x} (6 x y)

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

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

= 6 x + 6 y

\frac{d}{d x} (\frac{12 ( 3 x ^{3} - 16 )}{4 x - x ^{4}})

\int p (p + 7)^{8} d p

\int t^{2} e^{- 3 t} d t

\int 2 y e^{2 x} d x

y^{^{''}} + 2 y^{^{'}} + y = 4 e^{- 1}

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