If `x= sin t` and `y= sin^(3)t`, then `(d^(2)y)/(dx^(2))` at `t=pi/2` is

A

2

B

4

C

6

D

8

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If x=t^(2) and y=t^(3)+1 , then (d^(2)y)/(dx^(2)) is

If x=log t , t gt 0 and y=1/t , then (d^(2)y)/(dx^(2)) , is

If x=3 cos t and y=4 sin t , then (d^2y)/(dx^2) at the point (x_0,y_0)=(3/2sqrt2,2sqrt2) ,is

If x=2at^2,y=at^4 , then (d^2y)/(dx^2) at t=2 is

IF x=2at^2,y=at^4 , then (d^2y)/(dx^2) at t=2 is

If x=f(t) and y=g(t) , then (d^2y)/(dx^2) is equal to

If x= a t^2 and y= 2at, then show that xy (d^2 y)/(dx^2) + a = 0

If x=t^2 and y=t^3 , find (d^2y)/(dx^2) .

let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

If x=e^t sin t , y=e^t cos t , t is a parameter , then (d^2y)/(dx^2) at (1,1) is equal to