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Question

How to find the maxima and minima of any function …with some example.


Solution

Differentiate the given function and equate it the zero. Find value at which it will be zero. Substitute this value of x in double differentiated function. If it is greater than zero then it is point of minima else if it is less than zero it is point of maxima.
For Example:
x^2 - 4x + 6 = y
dydx=2x5
2x -4 = 0
x = 2
y" = 2
Therefore x = 2 is a point of minima.

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