Let f(x)=2x3=9x2+12x+6. Discuss the global maxima and minima of f(x)∈[0,2]and(1,3) and, hence, find the range of f(x) for corresponding intervals.

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Let {f{{({x})}}}={2}{x}^{{3}}={9}{x}^{{2}}+{12}{x}+{6}. Discus

Question

Let $f (x) = 2 x^{3} = 9 x^{2} + 12 x + 6 .$ Discuss the global maxima and minima of $f (x) \in [0, 2] a n d (1, 3)$ and, hence, find the range of $f (x)$ for corresponding intervals.

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Isabella Discussed

Let

f (x) = 2 x^{3} = 9 x^{2} + 12 x + 6 .

Discuss the global maxima and minima of

f (x) \in [0, 2] a n d (1, 3)

and, hence, find the range of

f (x)

for corresponding intervals.

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Question Text

Let

f (x) = 2 x^{3} = 9 x^{2} + 12 x + 6 .

Discuss the global maxima and minima of

f (x) \in [0, 2] a n d (1, 3)

and, hence, find the range of

f (x)

for corresponding intervals.