What is (\partial)/(\partial x)(e^{-7x}cos(7pit)) ?

The answer to (\partial)/(\partial x)(e^{-7x}cos(7pit)) is -7e^{-7x}cos(7pit)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(e^{-7x}cos(7pit))

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

- 7 e^{- 7 x} cos (7 π t)

Solution steps

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

Treat

t

as a constant

Take the constant out:

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

= cos (7 π t) \frac{\partial}{\partial x} (e^{- 7 x})

Apply the chain rule:

e^{- 7 x} \frac{\partial}{\partial x} (- 7 x)

= e^{- 7 x} \frac{\partial}{\partial x} (- 7 x)

\frac{\partial}{\partial x} (- 7 x) = - 7

= cos (7 π t) e^{- 7 x} (- 7)

Simplify

= - 7 e^{- 7 x} cos (7 π t)

What is (\partial)/(\partial x)(e^{-7x}cos(7pit)) ?
The answer to (\partial)/(\partial x)(e^{-7x}cos(7pit)) is -7e^{-7x}cos(7pit)