Let f be a real-valued function defined on the interval (0, ) by f(x) = n , x + _0^x 1 + t ; dt. Then which of the following statement(s) is (are) true ?

JEE Advanced 2010 Mathematics question

Let f be a real-valued function defined on the interval by . Then which of the following statement(s) is (are) true ?

Answer: (B),(C)

By the fundamental theorem of calculus, , which exists and is continuous for all . Now , which has a corner (is not differentiable) wherever it

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Question ID VK-025773