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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

\int (\frac{cos ( x )}{sin ^{2} ( x )}) d x

\int u d u

(ln^{3} (x))^{^{'}}

\int (sin (x))^{5} (cos (x))^{3} d x

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

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