1.

If `s=sqrt(t^(2)+1)`, then `(d^(2)s)/(dt^(2))` is equal toA. `(1)/(s)`B. `(1)/(s^(2))`C. `(1)/(s^(3))`D. `(1)/(s^(4))`

Answer» Correct Answer - C
`s=sqrt(t^(2)+1)`
`rArr (ds)/(dt)=(t)/(sqrt(t^(2)+1))`
`rArr (d^(2)s)/(dt^(2))=(1)/(sqrt((t^(2)+1)^(3)))`
`rArr (d^(2)s)/(dt^(2))=(1)/(s^(3))`


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