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A curve is represented paramtrically by the equations `x=e^(t)cost` and `y=e^(t)sint` where `t` is a parameter. Then
The value of `(d^(2)y)/(dx^(2))` at the point where `t=0` is

A

`1`

B

`-2`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
C
`(d^(2)y)/(dx^(2))=(sec^(3)((pi)/4+t))/(e^(1)(cost-sint))`
`(d^(2)y)/(dx^(2)):|_(t=0)=2`
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