What is (\partial)/(\partial x)(4e^{x-y}) ?

The answer to (\partial)/(\partial x)(4e^{x-y}) is 4e^{x-y}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(4e^{x-y})

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

4 e^{x - y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x - y) = 1

= 4 e^{x - y} \cdot 1

Simplify

= 4 e^{x - y}

\frac{d y}{d x} = e^{2.3 x - 1.9 y}

\int sec^{4} (\frac{3 x}{2}) tan^{2} (\frac{3 x}{2}) d x

- \frac{e ^{- s}}{( ( s ^{2} + 4 ) \cdot s ^{2} )}

\int 4 x y^{2} + 3 x^{2} d x

y = cos (a^{8} + x^{8})

What is (\partial)/(\partial x)(4e^{x-y}) ?
The answer to (\partial)/(\partial x)(4e^{x-y}) is 4e^{x-y}