The Maxima & Minima of a function, also known as extrema, are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema).

Conditions for f(x, y) to be Maximum and Minimum

• A function f(x, y) is said to be maximum at (a, b) if f(a, b) > f(a+h, y+k) for small values of h and k, positive or negative


• A function f(x, y) is said to be minimum at (a, b) if f(a, b) < f(a+h, y+k) for small values of h and k, positive or negative



 
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This chapter is further divided into the following classes: 

• Class A: Finding a point of Maxima and Minima and hence stationary values using partial derivatives


• Class B: Application of Lagrange’s theorem to maximize/minimize given function under the single constraint