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Position of a particle x is given by x^2=t^2 + 1, t is time in second, find acceleration for time t.

So this is what I decide to do:

x^2 = t^2+1

so

x = sqrt(t^2+1)

if you double differentiate the function on RHS

You get:

(t^2+1)^-3/2 or 1/(t^2+1)^3/2

I'd be grateful if you give me the steps for finding the answer (including the steps for finding out the derivative, because I used an online calculator).