What is (\partial)/(\partial x)(ye^{x^2}) ?

The answer to (\partial)/(\partial x)(ye^{x^2}) is ye^{x^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)(ye^{x^2})

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

e^{x^{2}} \frac{\partial}{\partial x} (x^{2})

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

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

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

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

\frac{2 s - 7}{( s - 4 ) ( s + 6 )}

\int \frac{x + 4}{x ^{2} + 5 x - 6} d x

\int sin (t) sec^{2} (cos (t)) d t

\int_{3}^{0} (5 x - x^{3}) d x

What is (\partial)/(\partial x)(ye^{x^2}) ?
The answer to (\partial)/(\partial x)(ye^{x^2}) is ye^{x^2}*2x