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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

2 e^{- y} x

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e^{- y} \cdot 2 x^{2 - 1}

Simplify

= 2 e^{- y} x

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

f (x) = 2 x^{2}, at x = 3

x \to 3 + lim (\frac{x + 3}{x ^{2} - 9})

\frac{d}{d x} (x^{4} + 5 x y^{3})

\int \frac{2}{t} d t

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