DifferentiationHard

Question

If y = (sin-1 x)2 + (cos-1 x)2, then (1 - x2) is equal to

Options

A.4
B.3
C.1
D.0

Solution

y = - 2 sin-1 x.cos-1 x

⇒  = 2(sin-1 x - cos-1 x)
again differentiate both sides w.r.t x

⇒ (1 - x2) = 4

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