Given Now And ⇒ Hence f(x) is continuous at x=2.Now Now And ⇒ Hence f’(x) is not differentiable at x=2.ORY = sin-1 x – sin-1 √xDifferentiate w.r.t x to get,

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Class 12th Mathematics - Board Papers Delhi-2010

Answer :

Given

Now

And

⇒

Hence f(x) is continuous at x=2.

Now

And

⇒

Hence f’(x) is not differentiable at x=2.

Y = sin^-1 x – sin^-1 √x

Differentiate w.r.t x to get,

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