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Popular >

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

Solution

extreme points

f (x) = 3 - ∣ t - 3 ∣

Solution

Maximum (3, 3)

Solution steps

Find the critical points:

t = 3

Find intervals:

Increasing

: - \infty < t < 3,

Decreasing

: 3 < t < \infty

Plug the extreme point

x = 3

into

3 - ∣ t - 3 ∣ \Rightarrow y = 3

Maximum (3, 3)

Popular Examples

extreme f(x)=6x^2+48x+72 extreme points

f (x) = 6 x^{2} + 48 x + 72

extreme f(x)=-2x^2+x-1,(-3,5)extreme points

f (x) = - 2 x^{2} + x - 1, (- 3, 5)

extreme f(x)=6x^2-48x+72 extreme points

f (x) = 6 x^{2} - 48 x + 72

extreme y=-0.05x^2+50x-600 extreme points

y = - 0.05 x^{2} + 50 x - 600

extreme g(x)=-4x^3-66x^2-360x+7 extreme points

g (x) = - 4 x^{3} - 66 x^{2} - 360 x + 7

Frequently Asked Questions (FAQ)

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