What is (\partial)/(\partial x)(e^{x^2+3y^2}) ?

The answer to (\partial)/(\partial x)(e^{x^2+3y^2}) is e^{x^2+3y^2}*2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^{x^2+3y^2})

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

e^{x^{2} + 3 y^{2}} \cdot 2 x

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{x^{2} + 3 y^{2}} \cdot 2 x

\int x^{3} - 4 x^{2} + C d x

2 x^{2} + 2

\frac{3}{s ^{2}}

\int \frac{1}{cos ( 4 x )} d x

x \to 4 lim (\frac{- 6}{4 - x})

What is (\partial)/(\partial x)(e^{x^2+3y^2}) ?
The answer to (\partial)/(\partial x)(e^{x^2+3y^2}) is e^{x^2+3y^2}*2x