কণার স্থানচ্যুতি (x) সময়ের (t) উপর নির্ভর করে `x = আলফা t^(2) - বিটা t^(3)`।

The displacement (x) of particle depends on time (t) as x = alpha t^(2) - beta t^(3) .

Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 and y= 4t^(3) -3t^(2) -18t + 3 where t in ( -2,2) then f'(x) at t = 1 is

Find (dy)/(dx) if x=(3a t)/(1+t^3) ; y=(3a t^2)/(1+t^3)

Which of the following curves in the x -y plane cuts every straight line in the plane? (1) x=t,y=t^(2) and (2)x=t,y=t^(3) and (3) x=t^(2),y=t^(3) and x=t^(3),y=t^(5)

If x = (t^(3))/(3) - (5)/(2)t^(2) + 6t + 1 , then the value (d^(2)x)/(d t^(2)) , when (dx)/(d t) is zero is :

The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3) - 15t^(2) + 36+ - 25, 2 + |sin t| , 2 le t le 4) is