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Find the range of values of x for which the function defined by f(x)=


{2x}^(3) - {3x}^(2) + 12x
is an increasing function.


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1 vote

Answer:

all values! x ∈ R

Explanation:

The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!

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