Solution

critical points

Solution

Solution steps
Absolute value functions are piecewise functions
Find the function intervals:
Evaluate the function behavior for each interval
Find where is equal to zero or undefined

Graph

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Popular Examples

critical f(x)= 1/(x^2+y^2-1)critical f(x)=3x^2-4x+1critical f(x)=12x^5+45x^4-80x^3+6critical x^2e^{3x}critical f(x,y)=x^4+y^4+2x^2y^2+8a^2x^2-8a^2y^2

Frequently Asked Questions (FAQ)

  • What is the critical f(x)=|x-3| ?

    The critical f(x)=|x-3| is x=3