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

The answer to (\partial)/(\partial t)(t^4e^{-x}) is 4e^{-x}t^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

4 e^{- x} t^{3}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 4 e^{- x} t^{3}

\frac{2}{1 - 2 x}

x \to 4 lim (\frac{x - 5}{x + 1})

\frac{\partial}{\partial x} ((2 x - 1)^{3})

9 y^{^{''}} + 6 y = 0

\int \frac{- cos ( 2 x ) - 1}{4} d x

What is (\partial)/(\partial t)(t^4e^{-x}) ?
The answer to (\partial)/(\partial t)(t^4e^{-x}) is 4e^{-x}t^3