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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{\partial}{\partial x} (ln (x^{2} z^{2}))

\int \frac{1 + x}{1 - x} d x

\int (e^{x} - 1)^{2} d x

f (x) = a^{2 x}

8 y y^{^{'}} = x

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