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Popular >

extreme f(x)=10-|x|

Solution

extreme points

f (x) = 10 - ∣ x ∣

Solution

Maximum (0, 10)

Solution steps

Find the critical points:

x = 0

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug the extreme point

x = 0

into

10 - ∣ x ∣ \Rightarrow y = 10

Maximum (0, 10)

Graph

Popular Examples

extreme f(x)=-5/3 x^3+15x^2+35x+10 extreme points

f (x) = - \frac{5}{3} x^{3} + 15 x^{2} + 35 x + 10

extreme f(x)=f(x)=30+20x^3-5x^4-x^5 extreme points

f (x) = f (x) = 30 + 20 x^{3} - 5 x^{4} - x^{5}

extreme f(x,y)=-4x+15y extreme points

f (x, y) = - 4 x + 15 y

extreme f(x)=sin(2x)-cos(x)-4x extreme points

f (x) = sin (2 x) - cos (x) - 4 x

extreme y=1+x^2 extreme points

y = 1 + x^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=10-|x| ?
The extreme f(x)=10-|x| is Maximum(0,10)