What is (\partial)/(\partial x)(e^y+4x^3y) ?

The answer to (\partial)/(\partial x)(e^y+4x^3y) is 12yx^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^y+4x^3y)

\frac{\partial}{\partial x} (e^{y} + 4 x^{3} y)

12 y x^{2}

Solution steps

\frac{\partial}{\partial x} (e^{y} + 4 x^{3} y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (e^{y}) + \frac{\partial}{\partial x} (4 x^{3} y)

\frac{\partial}{\partial x} (e^{y}) = 0

\frac{\partial}{\partial x} (4 x^{3} y) = 12 y x^{2}

= 0 + 12 y x^{2}

Simplify

= 12 y x^{2}

\frac{- 1}{s}

\int - cos (3 x) d x

\frac{1}{x - 1}, 22

\frac{d}{d x} (8 (1 - x)^{- 2})

\frac{d}{d x} (\frac{1}{2} x^{6} - 3 x^{4} + x)

What is (\partial)/(\partial x)(e^y+4x^3y) ?
The answer to (\partial)/(\partial x)(e^y+4x^3y) is 12yx^2