en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of e^{2+x}-2e^x+2ex

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

Popular Examples

limit as x approaches pi/3 of cot(3x)

x \to \frac{π}{3} lim (cot (3 x))

(\partial)/(\partial x)(x^2e^{5xy})

\frac{\partial}{\partial x} (x^{2} e^{5 x y})

derivative of-ln(1+6x)

\frac{d}{d x} (- ln (1 + 6 x))

(\partial)/(\partial x)(cos^n(x))

\frac{\partial}{\partial x} (cos^{n} (x))

integral from 0.5 to 1 of 4/9 x(5-x^2)

\int_{0.5}^{1} \frac{4}{9} x (5 - x^{2}) d x

Frequently Asked Questions (FAQ)

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