A critical point of a function y = f(x) is a point (c, f(c)) on the graph of f(x) at which either the derivative is 0 (or) the derivative is not defined. Let us see how to find the critical points of a function by its definition and from a graph.
In this lesson, learn what critical numbers of functions are and how to find the critical points of a function. Moreover, see examples of critical points on a graph for a better understanding of what they represent. Updated: 11/21/2023 Table of Contents Critical Numbers of a Function Le...
So for some function y=f(x), the first thing we want to do is find the critical points of this function. (That is, where the derivative is equal to zero.) So we are going to find some x values where the derivative is equal to zero. The second step is that we are going to ...
Select the "graph" or "plot" function of your calculator. Observe that two graphs, one of the parabola and one of the line, are graphed on the display. Note that the line and the parabola intersect at the points (0,0) and (1,1). Write down that the solution set of the two equat...
Given the functionf(x)=60(x23+2x2+10x-16)find the following: *Forthis one you are goingtowanttouse a graphing utilitytolookatthe graphsoff,f',and f''.Derivative calculator will give you the derivatives but ...
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Stationary point of a function is a point where the derivative of a function is equal to zero and can be a minimum, maximum, or a point of inflection