Discuss the extremum of f(x)=2x3−3x2−12x+5 for x∈[−2,4] and the find the range of f(x) for the given interval.

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Discuss the extremum of {f{{({x})}}}={2}{x}^{{3}}-{3}{x}^{{2}}

Question

Discuss the extremum of $f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5$ for $x \in [- 2, 4]$ and the find the range of $f (x)$ for the given interval.

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Michael Discussed

Discuss the extremum of

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5

for

x \in [- 2, 4]

and the find the range of

f (x)

for the given interval.

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Question Text

Discuss the extremum of

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5

for

x \in [- 2, 4]

and the find the range of

f (x)

for the given interval.