Question: In each of the case, find the rate of change of \(f\left( t \right)\) with respect to t at the given value of t .

1. \(f\left( t \right)={{t}^{3}}-4{{t}^{2}}+5t\sqrt{t}-5,\,\,\,t=4\)
2. \(f\left( t \right)=\frac{2{{t}^{2}}-5}{1-3t},\,\,\,\,t=-1\)
3. \(f\left( t \right)={{t}^{3}}\left( {{t}^{2}}-1 \right),\,\,\,t=0\)
4. \(f\left( t \right)={{\left( {{t}^{2}}-3t+6 \right)}^{1/2}},\,\,\,t=1\)

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