If f(x) = sin(cos⁻¹((1 - 2²ˣ) / (1 + 2²ˣ))) and its first derivative with respect to x is -(a/b)logₑ2 when x = 1, where a and b are integers, then the minimum value of |a² - b²| is........

Find gof and fog , if:

(i) f(x) = |x| and g(x) = |5x - 2|

(ii) f(x) = 8x³ and g(x) = x^1/3

47. Kindly Consider the following

46. Kindly Consider the following

45. Kindly Consider the following

44. Kindly Consider the following