What is the derivative of 10000-9000e^{-0.3x} ?

The derivative of 10000-9000e^{-0.3x} is 2700e^{-0.3x}

What is the first derivative of 10000-9000e^{-0.3x} ?

The first derivative of 10000-9000e^{-0.3x} is 2700e^{-0.3x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (10000 - 9000 e^{- 0.3 x})

2700 e^{- 0.3 x}

Solution steps

\frac{d}{d x} (10000 - 9000 e^{- 0.3 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (10000) - \frac{d}{d x} (9000 e^{- 0.3 x})

\frac{d}{d x} (10000) = 0

\frac{d}{d x} (9000 e^{- 0.3 x}) = - 2700 e^{- 0.3 x}

= 0 - (- 2700 e^{- 0.3 x})

Simplify

= 2700 e^{- 0.3 x}

What is the derivative of 10000-9000e^{-0.3x} ?
The derivative of 10000-9000e^{-0.3x} is 2700e^{-0.3x}
What is the first derivative of 10000-9000e^{-0.3x} ?
The first derivative of 10000-9000e^{-0.3x} is 2700e^{-0.3x}