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Extremum, Increase and Decrease sections – Extremum to a polynomial function in a closed interval – Exercise 6876

Determine the absolute extrema for the following function

$f(x)=3x^4+4x^3-12x^2$

On the closed interval

$[-3,2]$

Final Answer

$\max_{[-3,2]}f(x)=f(2)=32$

$\min_{[-3,2]}f(x)=f(-2)=-32$

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