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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Test Sheet on Infinite Series and Properties of Triangles for WBJEE,AIEEE and IIT. Chapters Included Properties of Triangles,Infinite Series,logarithmic,Exponential & Binomial.
Download here http://kolkatamaths.yolasite.com/resources/Infinite_Triangles_Test.pdf

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Harder Problems on Integration for IIT,WBJEE,AIEEE and other competitive exams. Click Here To Download
Mock Test Paper on Differentiation, A.P and G.P for for IIT,WBJEE,AIEEE,WBHS,CBSE,ISC,KIIT and other engineering competitive exams across India. Click Here To Download

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