Question

Find the range of values of x for which the function defined by f(x)=
${2x}^{3} - {3x}^{2} + 12x$
is an increasing function.
​

Answer 1

Answer:

all values! x ∈ R

Step-by-step 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!