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  1. 16 Νοε 2022 · Critical points will show up in most of the sections in this chapter, so it will be important to understand them and how to find them. We will work a number of examples illustrating how to find them for a wide variety of functions.

    • Rates of Change

      In this figure \(y\) represents the distance driven by Car B...

  2. How do you find the critical point of two variable functions? To find the critical points of a two variable function, find the partial derivatives of the function with respect to x and y. Then, set the partial derivatives equal to zero and solve the system of equations to find the critical points.

  3. 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.

  4. To check if a critical point is maximum, a minimum, or a saddle point, using only the first derivative, the best method is to look at a graph to determine the kind of critical point. For some applications we want to categorize the critical points symbolically.

  5. Find all critical points of \(f(x,y) = x^4+y^4 - 8x^2+4y\), and classify the nondegenerate critical points. Classifying a critical point means determining whether it is a local minimum, local maximum, or saddle point.

  6. This calculus video is focused on the concept of critical values in functions. The video provides a clear and concise explanation of how to identify critical...

  7. Find critical points and extrema step by step. The calculator will try to find the critical (stationary) points, the relative (local) and absolute (global) maxima and minima of the single variable function. The interval can be specified.

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