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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - 4 e^{- x} + e^{3 x} \cdot 3

\int e^{- t x} sin (x) d x

x \to - 1 lim (3 x^{2} - 1)

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

y = 3 x, y = \frac{3}{x}, x = 5

\int \frac{1}{e ^{2 x}} d x

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