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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