11X1 T10 02 critical points (2011)

Download 11X1 T10 02 critical points (2011)

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<p> 1. Critical Points 2. Critical Points dyCritical points occur when 0 or is undefined dx 3. Critical Points dyCritical points occur when 0 or is undefined dx y x 4. Critical Points dyCritical points occur when 0 or is undefined dx y x 5. Critical PointsdyCritical points occur when 0 or is undefineddxf x 0, maximum turning pointyx 6. Critical PointsdyCritical points occur when 0 or is undefineddxf x 0, maximum turning pointy xf x 0, minimum turning point 7. yx 8. yx 9. yf x 0, horizontal point of inflection x 10. yf x 0, horizontal point of inflection xy x 11. yf x 0, horizontal point of inflectionxy xf x is undefined, vertical tangent 12. yx 13. yx 14. yxf x is undefined, " cusp" curve is not continuousminimum point 15. yxf x is undefined, " cusp" curve is not continuousminimum pointExercise 10C; 1, 2ace etc, 3, 5, 8, 10</p>