What is (\partial)/(\partial x)(x^3e^{-3y}) ?

The answer to (\partial)/(\partial x)(x^3e^{-3y}) is 3e^{-3y}x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^3e^{-3y})

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

3 e^{- 3 y} x^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= e^{- 3 y} \cdot 3 x^{3 - 1}

Simplify

= 3 e^{- 3 y} x^{2}

t^{3} d x + (x t^{2} + x^{3}) d t = 0

\frac{d P}{d t} = (\frac{9}{240}) P - \frac{1}{4800} (P)^{2}, P (0) = 240

3 x^{4} - 6 x^{3} + 1

f (x) = \frac{x ^{2} + 8}{9 x - 2}

\frac{d}{d x} (x arccos (x) - 1 - x^{2})

What is (\partial)/(\partial x)(x^3e^{-3y}) ?
The answer to (\partial)/(\partial x)(x^3e^{-3y}) is 3e^{-3y}x^2