4. (10 points) Find all relative and absolute extrema of the function $$ f(t)=\frac{1}{2} t^{4}+\frac{10}{3} t^{3} $$ with domain $$ (-\infty,+\infty) $$. Then the same function with domain $$ [-2,+\infty) $$

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Fuentes Norris · Accepted Answer

For $$ (-\infty, +\infty) $$: Relative Minimum at $$ t = -5 $$, Absolute Minimum at $$ t = -5 $$. For $$ [-2, +\infty) $$: Absolute Minimum at $$ t = -2 $$.

4. (10 points) Find all relative and absolute extrema of the function \[ f(t)=\frac{1}{2} t^{4}+\frac{10}{3} t^{3} \] with domain \( (-\infty,+\infty) \). Then the same function with domain \( [-2,+\infty) \)

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4. (10 points) Find all relative and absolute extrema of the function \[ f(t)=\frac{1}{2} t^{4}+\frac{10}{3} t^{3} \] with domain \( (-\infty,+\infty) \). Then the same function with domain \( [-2,+\infty) \)

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