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Popular >

extreme 2sqrt(x)-x

Solution

extreme points

2 x - x

Solution

Maximum (0, 0), Minimum (1, 1)

Solution steps

f^{'} (x) = \frac{1}{x} - 1

Find intervals:

Decreasing

: 0 \leq x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

2 x - x : 0

Maximum (0, 0)

Plug

x = 1

into

2 x - x : 1

Minimum (1, 1)

Maximum (0, 0), Minimum (1, 1)

Popular Examples

extreme f(x)=2sin(x)-x extreme points

f (x) = 2 sin (x) - x

extreme f(x)=x^9-3x^7+2 extreme points

f (x) = x^{9} - 3 x^{7} + 2

extreme ln^2(x^2+x+1)extreme points

ln^{2} (x^{2} + x + 1)

extreme f(x)=-x^3+12x-11 extreme points

f (x) = - x^{3} + 12 x - 11

extreme f(x,y)=(x-y)(36-xy)extreme points

f (x, y) = (x - y) (36 - x y)

Frequently Asked Questions (FAQ)

What is the extreme 2sqrt(x)-x ?
The extreme 2sqrt(x)-x is Maximum(0,0),Minimum(1,1)