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Answer:1/x³
Explanation:
x²=t²+1
Taking its differentiation
2x*(dx/dt)=2t
x*(dx/dt)=t
Again, taking differentiation for acceleration
x*(d²x/dt²)+(dx/dt)²=1
x*(d²x/dt²)=1-(t/x)² [since x*(dt/dx)=t]
(d²x/dt²)={1-(t/x)²}/x
(d²x/dt²)=1/x-t²/x³
Putting t²=x²-1
(d²x/dt²)=1/x³
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