What is the derivative of 4e^{x/2}-3e^{-x} ?

The derivative of 4e^{x/2}-3e^{-x} is 2e^{x/2}+3e^{-x}

What is the first derivative of 4e^{x/2}-3e^{-x} ?

The first derivative of 4e^{x/2}-3e^{-x} is 2e^{x/2}+3e^{-x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (4 e^{\frac{x}{2}} - 3 e^{- x})

2 e^{\frac{x}{2}} + 3 e^{- x}

Solution steps

\frac{d}{d x} (4 e^{\frac{x}{2}} - 3 e^{- x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 e^{\frac{x}{2}}) - \frac{d}{d x} (3 e^{- x})

\frac{d}{d x} (4 e^{\frac{x}{2}}) = 2 e^{\frac{x}{2}}

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

= 2 e^{\frac{x}{2}} - (- 3 e^{- x})

Simplify

= 2 e^{\frac{x}{2}} + 3 e^{- x}

What is the derivative of 4e^{x/2}-3e^{-x} ?
The derivative of 4e^{x/2}-3e^{-x} is 2e^{x/2}+3e^{-x}
What is the first derivative of 4e^{x/2}-3e^{-x} ?
The first derivative of 4e^{x/2}-3e^{-x} is 2e^{x/2}+3e^{-x}