What is the derivative of e^{-5x}+e^{3x} ?

The derivative of e^{-5x}+e^{3x} is -5e^{-5x}+e^{3x}*3

What is the first derivative of e^{-5x}+e^{3x} ?

The first derivative of e^{-5x}+e^{3x} is -5e^{-5x}+e^{3x}*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{- 5 x} + e^{3 x}

- 5 e^{- 5 x} + e^{3 x} \cdot 3

Solution steps

\frac{d}{d x} (e^{- 5 x} + e^{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{- 5 x}) + \frac{d}{d x} (e^{3 x})

\frac{d}{d x} (e^{- 5 x}) = - 5 e^{- 5 x}

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

= - 5 e^{- 5 x} + e^{3 x} \cdot 3

\frac{d}{d x} (e^{x} + 19)

x \to 2 + lim (2 - x)

\frac{d}{d x} (\frac{1 - 6 x}{2 + x})

(t^{2} + e^{t}) t

\frac{d}{d x} (cos^{2} (x) tan (x))

What is the derivative of e^{-5x}+e^{3x} ?
The derivative of e^{-5x}+e^{3x} is -5e^{-5x}+e^{3x}*3
What is the first derivative of e^{-5x}+e^{3x} ?
The first derivative of e^{-5x}+e^{3x} is -5e^{-5x}+e^{3x}*3