Question

Difference between critical points and critical numbers critical values

Answer 1

$ASSALAMUALAIKUM$


CRITICAL POINT:-  or stationary point of a differentiable function of a real or complex variable is any value in its domain where its derivative is 0. ... For a differentiable function of several real variables, a critical point is a value in its domain where all partial derivatives are zero.

CRITICAL NUMBER:- All local extrema occur at criticalpoints of a function — that's where the derivative is zero or undefined (but don't forget that critical points aren't always local extrema). So, the first step in finding a function's local extrema is to find its critical numbers(the x-values of the critical points).

CRITICAL VALUE :- the value of a function at a critical point is critical value

$INSHAALLAH it will help you!$

Answer 2

Answer:

A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f where it is not differentiable or its derivative is 0 (f ′(x0) = 0). A critical value is the image under f of a critical point.

JAI SHRI RAM