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Popular >

extreme x-4sqrt(x)

Solution

extreme points

x - 4 x

Solution

Minimum (0, 0), Minimum (4, - 4)

Solution steps

f^{'} (x) = 1 - \frac{2}{x}

Find intervals:

Increasing

: 0 \leq x < \frac{1}{4},

Decreasing

: \frac{1}{4} < x < \infty

Plug

x = 0

into

x - 4 x : 0

Minimum (0, 0)

Plug

x = 4

into

x - 4 x : - 4

Minimum (4, - 4)

Minimum (0, 0), Minimum (4, - 4)

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extreme f(x,y)=y^3+2x^2+3xy-y^2-3x-y+3 extreme points

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extreme f(x)=e^x(x-3)extreme points

f (x) = e^{x} (x - 3)

extreme f(x)=4x^3+12x^2-36x extreme points

f (x) = 4 x^{3} + 12 x^{2} - 36 x

extreme f(x,y)=8xln(x)y extreme points

f (x, y) = 8 x ln (x) y

Frequently Asked Questions (FAQ)

What is the extreme x-4sqrt(x) ?
The extreme x-4sqrt(x) is Minimum(0,0),Minimum(4,-4)