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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{- 2200 x}{25 - x ^{2}} d x

\int \frac{e ^{x}}{e ^{2 x} + 3} d x

y^{^{'}} - 5 y = 10

\frac{d}{d x} (x^{9} ln (x))

\frac{d y}{d x} = - \frac{3 x}{y}

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