What is the derivative of e^x(2sqrt(x)+2x) ?

The derivative of e^x(2sqrt(x)+2x) is e^x(2sqrt(x)+2x)+(1/(sqrt(x))+2)e^x

What is the first derivative of e^x(2sqrt(x)+2x) ?

The first derivative of e^x(2sqrt(x)+2x) is e^x(2sqrt(x)+2x)+(1/(sqrt(x))+2)e^x

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^{x} (2 x + 2 x))

e^{x} (2 x + 2 x) + (\frac{1}{x} + 2) e^{x}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = 2 x + 2 x

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

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

\frac{d}{d x} (2 x + 2 x) = \frac{1}{x} + 2

= e^{x} (2 x + 2 x) + (\frac{1}{x} + 2) e^{x}

\int arctan (v) d v

\int \frac{2}{1 - x} d x

y^{^{'}} - y = x + 1

\frac{2 s}{s ^{2} - 8 s + 6}

What is the derivative of e^x(2sqrt(x)+2x) ?
The derivative of e^x(2sqrt(x)+2x) is e^x(2sqrt(x)+2x)+(1/(sqrt(x))+2)e^x
What is the first derivative of e^x(2sqrt(x)+2x) ?
The first derivative of e^x(2sqrt(x)+2x) is e^x(2sqrt(x)+2x)+(1/(sqrt(x))+2)e^x