If `x = t^(2)` and `y = t^(3)`, then `(d^(2)y)/(dx^(2))` is equal toA. 1B. `(3)/(2t)`C. `(3)/(4t)`D. `(3)/(2)`

If `x = t^(2)` and `y = t^(3)`, then `(d^(2)y)/(dx^(2))` is equal toA.

1.	If `x = t^(2)` and `y = t^(3)`, then `(d^(2)y)/(dx^(2))` is equal toA. 1B. `(3)/(2t)`C. `(3)/(4t)`D. `(3)/(2)`
Answer» Correct Answer - C Let `x=t^(2) and y=t^(3)` `rArr" "(dx)/(dt=2t and (dy)/(dt)=3t^(2)` `therefore" "(dy)/(dx)=(dy//dt)/(dx//dt)=(3t^(2))/(2t)=(3)/(2)t` `rArr" "(d^(2)y)/(dx^(2))=(3)/(2).(dt)/(dx)=(3)/(2).(1)/(2t)(because(dx)/(dt)=2t)` `=(3)/(4t)`