If f(x)= x x+1 - x be a real-valued function then

JEE Advanced Mathematics question

If be a real-valued function then

Answer: (B)

For to be real, . Rationalise:

f(x)==x(+ x), f(0)=0.

At the end-point only the right-hand derivative is relevant:

f'(0)=_{h\

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Question ID VK-109351