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[Solved] Determine the critical numbers of the given function and classify each critical point as a relative maximum or relative minimum or neither.

Question: Determine the critical numbers of the given function and classify each critical point as a relative maximum or relative minimum or neither.

\[f\left( t \right)=10{{t}^{6}}+24{{t}^{5}}+15{{t}^{4}}+3\]

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