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Question

If x=logt and y=t21, then y′′(1) at t=1 is
  1. 4
  2. 2
  3. 3
  4. None of these


Solution

The correct option is A 4
x=logtdxdt=1t
y=t21dydt=2t
dydx=y=2t2
dydx=dydtdtdx
d2ydx2=4t1t=4t2
y′′(1)=4(1)=4

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