What is the derivative of f(x)=e^xx+2e^x ?

The derivative of f(x)=e^xx+2e^x is e^xx+3e^x

What is the first derivative of f(x)=e^xx+2e^x ?

The first derivative of f(x)=e^xx+2e^x is e^xx+3e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = e^{x} x + 2 e^{x}

e^{x} x + 3 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{x} x + e^{x} + 2 e^{x}

Simplify

= e^{x} x + 3 e^{x}

x \to 3 lim (\frac{x ^{2} - x - 6}{x ^{2} - 5 x + 6})

x cos (x - 3)

\frac{4 x ^{2} - 5 x + 9}{3 x + 7}

x \to 2 lim (x^{2} - 3 x - 4)

y^{^{'}} = e^{(t + y)}

What is the derivative of f(x)=e^xx+2e^x ?
The derivative of f(x)=e^xx+2e^x is e^xx+3e^x
What is the first derivative of f(x)=e^xx+2e^x ?
The first derivative of f(x)=e^xx+2e^x is e^xx+3e^x