Thursday 25 April 2013

Conditions for Maxima and Minima

Conditions for Maxima and Minima


If y = f(x), then for maximum or minimum value of y for a value of x the first differential coefficient of y w.r.t. x should be zero.
i.e.
dy/dx = 0.
Find the value of x from here.

Now, find the 2nd derivative of y w.r.t. x i.e. d2y/dx2 and put the value of x.

1. If the value of d2y/dx2 is negative, then y is maximum for given value of x.

2. If the value of d2y/dx2 is positive, then y is minimum for a given value of x.

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