Exam Problem. Adv. 2 Sum 42.

differential coefficient of sin-1(3x-4x3) w.r.t. sin-1x is :

a) 3 if -1 ≤ x ≤ 1
b) -3 if -1 ≤ x < -0.5
c) 3 if -0.5 < x < 0.5
d) -3 if -0.5 < x ≤ 1

2 Answers

146
Amartya Kumar Mistry ·

let x=sinθ hence
sin-1(3sinθ-4sin3θ)=3θ
and sin-1(sinθ)=θ
hence d(3θ)/dθ=3 for -1≤x≤1

146
Amartya Kumar Mistry ·

option a

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