Math Chapter Wise question with answer

Q01 If y = sin-1 2 2x 1 x + where 0 < x < 1 and 0 < y < 2 π then dy dx is equal to: English · TGT 1999 Q02 The set of points where the function f(x)=|2x−1|. sinx, is differentiable is: English · KVS PGT 2022 Q03 If () 3 2 3 x sinx cosx f x = 6 -1 0, p p p where P is a constant then the value of () { } 3 d f x dx at x = 0 English · TGT 2011 Q04 If x = 2 sinθ – sin2θ and y = 2cosθ –cos2θ, θ∈ [0, 2π], then 2 d y dx at θ = π is: English · EMRS PGT-2023 Q05 If 1 3 x sin (3t 4t) and 1 2 y cos 1 t then dy dx is equal to – English · KVS TGT 2017 Q06 If x 0 1 limxsin A x → = and x 1 limxsin B x →∞ =, then which of the following is true? English · LT 2018