[Solution] Consider the following function: f(x)=x^3-4x^2+5x-2. Determine the intervals of increasing and decreasing. Determine local maximum and minimum.
Question: Consider the following function: \[f(x)={{x}^{3}}-4{{x}^{2}}+5x-2\] .
- Determine the intervals of increasing and decreasing.
- Determine local maximum and minimum.
- Determine the intervals of concave up and concave down.
- Determine the point of inflection.
- Sketch the graph.
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