The differential coefficient of \( \sin ^{-1} \frac{t}{\sqrt{1+t^{2}}} \) w.r.t P \( \cos ^{-1} ...

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The differential coefficient of \( \sin ^{-1} \frac{t}{\sqrt{1+t^{2}}} \) w.r.t
P \( \cos ^{-1} \frac{1}{\sqrt{1+t^{2}}} \) is

W
(A) \( 1 \forall \mathrm{t}0 \)
(B) \( -1 \forall \mathrm{t}0 \)
(C) \( 1 \forall \mathrm{t} \in \mathrm{R} \)
(D) none of these
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