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Popular >

extreme f(x)=3-|x-2|

Solution

extreme points

f (x) = 3 - ∣ x - 2 ∣

Solution

Maximum (2, 3)

Solution steps

Find the critical points:

x = 2

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug the extreme point

x = 2

into

3 - ∣ x - 2 ∣ \Rightarrow y = 3

Maximum (2, 3)

Popular Examples

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f (x) = \frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{3}{2} x^{2} + 1

extreme f(x,y)=(3x^2-1)/(x^2+y^2+1)extreme points

f (x, y) = \frac{3 x ^{2} - 1}{x ^{2} + y ^{2} + 1}

extreme f(x)=3x+(27)/x extreme points

f (x) = 3 x + \frac{27}{x}

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extreme f(x)= 2/3 x^3-4x^2-45x extreme points

f (x) = \frac{2}{3} x^{3} - 4 x^{2} - 45 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3-|x-2| ?
The extreme f(x)=3-|x-2| is Maximum(2,3)