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....
Thursday, 25 April 2013
Formulae of Differentiation
Fundamental Formulae of Differentiation
Derivatives of Trigonometrical Functions
Derivatives of Logarithmic and Exponential Functions
...
Wednesday, 10 April 2013
Solution of Triangles
Solution of Triangles
In a triangle, there are six elements or parts, three sides and three
angles. From plane geometry, we know that if three of the elements are given,
at least one of which must be a side, then the other three elements can be
uniquely determined. If only three angles are given, then no unique solution of
the triangle is possible but unlimited number of equiangular triangles can be
found, the three angles of which are equal to the three given...
