Here is a good problem of functional Equation where the form of the function is unknown and you have to find the value of the derivative of the function at some given point. What will be given is a equation which the function is satisfying along with some other values of the function or the derivatives. These type of problems are important for Indian Statistical Institute (ISI) , Chennai Mathematical Institute (CMI) or even IIT.

Here is the link to the problem.

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Solved Maths Paper of KIITEE-2011 conducted by KIIT University for B.tech/ B.Tech and M.Tech Dual Degree
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Author-Vinod Singh

Education : M.Sc Pure Mathematics'09,( Calcutta University ) First Class.

B.Sc Mathematics Honours'07,(St. Xavier's kolkata) First Class.

Special interest in Algebra, Algebraic and Analytical Number Theory,

Cryptography, Algebraic Topology and Geometry.

http://kolkatamaths.yolasite.com

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