Continuity and DifferentiabilityHard
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
⇒
again differentiate both sides w.r.t x
⇒ (1 - x2)
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