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.

ISC Maths Specimen Paper 2012

I have published the ISC Maths Specimen Paper 2012 on my site follow the link to download it.

CBSE Maths Sample Paper for class XII. Special care has been taken for preparing the paper, pattern and syllabus has been strictly followed. Meant for student preparing for 2012+ board exams. Download
Mathematics are well and good but nature keeps dragging us around by the nose.  ~Albert Einstein