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hallar los siguientes problemas de la función dada: Los números críticos, intervalos de monotonía, los extremos locales, los números críticos de segundo orden, intervalos de concavidad, puntos de inflexión y hacer gráfica 

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In the meantime, here are some related questions you can consider:
1. What are critical points and how are they found using the first derivative?
2. How can you determine if a critical point is a local maximum, minimum, or saddle point?
3. What is the significance of the second derivative in determining concavity?
4. How are points of inflection determined from the second derivative?
5. How do changes in concavity affect the shape of the graph?

**Tip**: When finding intervals of monotonicity, remember to test the sign of the first derivative in the intervals formed by the critical points.

Hallar los siguientes problemas de la función dada: Los números críticos, intervalos de monotonía, los extremos locales, los números críticos de segundo orden, intervalos de concavidad, puntos de inflexión y hacer gráfica

Learn how to solve for critical points, intervals of monotonicity, local extrema, second-order critical points, concavity intervals, and inflection points of the function G(x) = x^4 + 2x^3 - 3x^2 - 4x. Explore calculus concepts with detailed solutions suitable for high school students in Grades 11-12.

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