31. The derivative of Cos (2r-1) w.r.t Cos'x is dy 40. y= sin' x then D 2 2) 4) i-x 3) dx 2V1-x sin 2. 360 2)sin 2x 32. If x etet.to .x>0, then dx 3) sin 2x 4) sin 2x 180 1+x 2)7 1-x 3) 41. If x = sin e + @cose. y cos @-6 sine then 4) 1+x dr 0=R/2%3D 33. If y ytan.x+ytan.x+vtan x+.., then 7C 1) 2 2) 3)7 sec' x cos x 1) 2y-1 tan x cot x 2y-1 3)2y-1 4) 2v-1 42. If x+7xy +9y 24xy' then 1) 2) 3) 4)- 34. If the function f is defined by f(x) 1+1x1' then at what points is f differentiable 43. If v1+x+vI+y =a(x-y) then dx 1) everywhere 2) at x = + 1 1+y 1) V1+x 1+x 2) 1+y' 3) except at x = 0 4) except at x = 0 & 1 EDUCAPION MO LTD sin (3x - 4x') is RS 1-y 3) V1- 4) 1-y 35. If f(x)=Cot r then f'(1) = 2 2rV1-x w.r.t 3) 1 I) - log 2 2) log2 44. Derivative of tan 1-2x 36. If f(a) = 2, f'(a) = 1, g(a) = -1, g'(a) = 2, then %3D 4) 0 1) 1 2) 3) 2. g(x)f(a)-g(a)f(x) Lt dy y 45. If ry=(x+y)" and X-a then n = dx x 3) 5 4) 3)5 4) 6 I) -5 2) 1) 2 2) 3 37. If f'(x) = g(x) and g'(x) = - f(x) * and f(2) = 4 = f'(2), then f(24) + g*(24) is 3) 64 4) 48 46. The function f(x)=x" sin-f **0; fx-0 if x = 0 is continuous but not %3D %3D 1) 32 2) 24 differentiable at x = 0 if 1) (0,1) 2) ne (0.1] 1+x 38. Sin Cor V1-x 4) (L) dx 3)n= 1 3) 4)-1 1) 0 2)5 d 1++x* 47. If =ax+b then (a.b)%3D dx 1+x+x* 39. +e=e+y then dx I)- 1, 2) 2) (-2, 1) 3) (2, - 1) 4) (1,2 3) e 4)-e I) e 2) e 22/3