en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=e^x-x

Solution

extreme points

f (x) = e^{x} - x

Solution

Minimum (0, 1)

Solution steps

f^{'} (x) = e^{x} - 1

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

e^{x} - x : 1

Minimum (0, 1)

Popular Examples

midpoint (9,15),(-1,-7)midpoint

(9, 15), (- 1, - 7)

range of f(x)=(5x+4)/7 range

f (x) = \frac{5 x + 4}{7}

inflection f(x)=x^4+3x^3 inflection points

f (x) = x^{4} + 3 x^{3}

domain of 2x^2-20x-6 domain

2 x^{2} - 20 x - 6

midpoint (3.5,2.2),(1.5,-4.8)midpoint

(3.5, 2.2), (1.5, - 4.8)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x-x ?
The extreme f(x)=e^x-x is Minimum(0,1)