What is the derivative of e^{-8x}cos(8x) ?

The derivative of e^{-8x}cos(8x) is -8e^{-8x}cos(8x)-8e^{-8x}sin(8x)

What is the first derivative of e^{-8x}cos(8x) ?

The first derivative of e^{-8x}cos(8x) is -8e^{-8x}cos(8x)-8e^{-8x}sin(8x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{- 8 x} cos (8 x))

- 8 e^{- 8 x} cos (8 x) - 8 e^{- 8 x} sin (8 x)

Solution steps

\frac{d}{d x} (e^{- 8 x} cos (8 x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{- 8 x}, g = cos (8 x)

= \frac{d}{d x} (e^{- 8 x}) cos (8 x) + \frac{d}{d x} (cos (8 x)) e^{- 8 x}

\frac{d}{d x} (e^{- 8 x}) = - 8 e^{- 8 x}

\frac{d}{d x} (cos (8 x)) = - sin (8 x) \cdot 8

= (- 8 e^{- 8 x}) cos (8 x) + (- sin (8 x) \cdot 8) e^{- 8 x}

Simplify

= - 8 e^{- 8 x} cos (8 x) - 8 e^{- 8 x} sin (8 x)

n = 0 \sum \infty e^{- n - 1}

\frac{\partial}{\partial y} (8 x^{2} + 7 y^{2} + 2)

\frac{d}{d x} (x (4^{- 2 x}))

\int \frac{27}{1 - cos ( 9 x )} d x

What is the derivative of e^{-8x}cos(8x) ?
The derivative of e^{-8x}cos(8x) is -8e^{-8x}cos(8x)-8e^{-8x}sin(8x)
What is the first derivative of e^{-8x}cos(8x) ?
The first derivative of e^{-8x}cos(8x) is -8e^{-8x}cos(8x)-8e^{-8x}sin(8x)