Math Chapter Wise question with answer

Q01 If f(x) 3 2 sin cos tan 2 1 1 x x x x x x x = (x) then 2 0 () lim x f x x → is equal to English · PGT 2004 Q02 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 Q03 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 Q04 If 1 3 x sin (3t 4t) and 1 2 y cos 1 t then dy dx is equal to – English · KVS TGT 2017 Q05 If x = a(1 + cos 2θ) sin 2θ; y = b(1 – cos2θ) cos 2θ, then dy = dx English · Haryana PGT 2020 Q06 If ((()) x a cost tsint = + = + ((()) y a sint tcost = − = − then the value of 2 d y dx is English · LT 2018