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[Solution Library] Let s(t)=√t. Find the average rate of change of s(t) with respect to t as t changes from t=1 to t=1/4. Use calculus to find the

Question: Let \(s(t)=\sqrt{t}\).

  1. Find the average rate of change of \(s(t)\) with respect to \(t\) as \(t\) changes from \(t=1\) to \(t=\frac{1}{4}\).
  2. Use calculus to find the instantaneous rate of change of \(s(t)\) at \(t=1\) and compare with the average rate found in part (a).

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