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If s=(t^(3))/(3)-(1)/(2)t^(2)-6t+5, Find...

If `s=(t^(3))/(3)-(1)/(2)t^(2)-6t+5`, Find the value of `(d^(2)s)/(dt^(2))` at `t=1`

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The correct Answer is:
1
We have `s=(t^(3))/(3)-(1)/(2)t^(2)-6t+5`. Differentiating w.r.t to 't' we get `(ds)/(dt)=t^(2)-t-6`. Again `(d^(2)s)/(dt^(2))=2t-1`
`((d^(2)s)/(dt^(2)))_(("1,1"))=(2xx1)-1=1`
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