The function you provided is:

\[ f(x) = 2x^3 - 4x^2 - 10x + 20 \]

Would you like to:

1. Find the derivative \( f'(x) \)?
2. Determine the critical points and identify local maxima or minima?
3. Evaluate the function at specific values of \( x \)?
4. Find the roots (where \( f(x) = 0 \))?
5. Analyze the behavior of the function as \( x \) approaches infinity or negative infinity?

**Tip:** Understanding the derivative of a function can help identify where the function increases or decreases, and find local maxima and minima.

Explore the polynomial function f(x) = 2x^3 - 4x^2 - 10x + 20 with a comprehensive analysis. This problem involves finding the derivative, determining critical points, evaluating roots, and understanding the behavior of the function as x approaches infinity. Suitable for advanced high school students in Grades 11-12.

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