What is (\partial)/(\partial x)(2xy-e^x) ?

The answer to (\partial)/(\partial x)(2xy-e^x) is 2y-e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(2xy-e^x)

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

2 y - e^{x}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y - e^{x}

\frac{\partial}{\partial y} (\frac{t ^{2}}{4 y ^{4}})

\int \frac{3 x + 1}{( x ^{2} + 2 ) ( x + 3 )} d x

\int 2 x x - 3 d x

\int \frac{1}{( y - 3 ) ( y - 2 ) ( y - 1 )} d y

\int \frac{e ^{x} + e ^{- x}}{e ^{x} - e ^{- x}} d x

What is (\partial)/(\partial x)(2xy-e^x) ?
The answer to (\partial)/(\partial x)(2xy-e^x) is 2y-e^x