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ryan.1015
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Homework Statement
find the maxima and minima of the function f(x)=2cos3x + 3sin2x on the interval (-pie, pie)
ryan.1015 said:im not sure if i did the derivative right. i got -2sin3x+ 3cosx as the first derivative
It is.ElectroPhysics said:pere callahan and mark44, is the following statement right..
find derivative of f(x) as below
f'(x) = -6sin(3x) + 6cos(2x)
A maximum is the highest value that a function or set of data can reach. A minimum is the lowest value that a function or set of data can reach.
Finding maximum and minimums helps us understand the behavior of functions and data sets. It allows us to identify important points and make predictions about the data.
The most common methods include graphing, calculus, and algebraic methods such as completing the square or using the quadratic formula.
Yes, a function can have multiple local and/or global maximum and minimum points. These points can occur at different x-values and can have the same or different y-values.
Maximum and minimums are used in various fields such as engineering, economics, and data analysis to optimize processes and make informed decisions. For example, finding the minimum cost for manufacturing a product or maximizing profit in a business.