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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Let a function y=y(x)y = y\left( x \right) be defined parametrically by x=2t−∣t∣,y=t2+t∣t∣x = 2t - \left| t \right|,y = {t^2} + t\left| t \right|. Then, y′(x),x>0y'\left( x \right),x > 0
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Correct option: D
Does not exist
Option D (Does not exist) is correct because the derivative does not exist at x=0 due to different limits from the left and right.

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