Practice Problems on How to Find Global Maxima and Minima
P1: Find the global maxima and minima of function f(x) = x4 – x in the interval [1, 4].
P2: Find the global maxima and minima value of function f(x) = 1 / (x -5) in its entire domain.
P3: Find the global maximum and minimum value of function f(x) = 4x3 + 7x2 + 2x + 1 in the interval [0, 3].
P4: Find the global maxima and minima of function f(x) = 4cos x + sin x in the interval [0, 1].
How to Find Global Maxima and Minima
Do you ever wonder how to find the highest or lowest points of something? Maybe you’re trying to figure out the best temperature for baking cookies or the shortest route to school. In the world of mathematics, we call these high points “global maximums” and low points “global minimums.” They’re like the peaks and valleys of a roller coaster, showing us the highest and lowest points along the ride.
In this article, we’ll take a journey into the world of finding global maximums and minimums.
Table of Content
- What is Global Maxima and Minima?
- Locations of Global Maxima and Global Minima
- How to Find Global Maxima and Minima
- Solved Examples on How to Find Global Maxima and Minima
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