11X1 T09 05 product rule (2010)

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<ul><li> 1. Calculus Rules </li></ul> <p> 2. Calculus Rules d 2. Product Rule uv uv vu dx 3. Calculus Rules d 2. Product Rule uv uv vu dx Write down the FIRST and DIFF the SECOND, PLUS write down theSECOND and DIFF the FIRST 4. Calculus Rulesd 2. Product Rule uv uv vudxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 5. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 x 7 9 x8 x 9 6 7 x 6 dy dx 6. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 x 7 9 x8 x 9 6 7 x 6 dy dx 9 x15 7 x15 42 x 6 7. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 x 7 9 x8 x 9 6 7 x 6 dy dx 9 x15 7 x15 42 x 6 16 x15 42 x 6 8. Calculus Rulesd 2. Product Rule uv uv vudxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3 x 7 9 x8 x 9 6 7 x 6 dy dx 9 x15 7 x15 42 x 6 16 x15 42 x 6 9. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 896dx dx 9 x15 7 x15 42 x 6 16 x15 42 x 6 10. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 896dx dx 9 x15 7 x15 42 x 6 2x 4 2x 3 16 x15 42 x 6 11. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 896dx dx 9 x15 7 x15 42 x 6 2x 4 2x 3 16 x15 42 x 6 4x 7 12. Calculus Rulesd 2. Product Rule uv uv vudxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 8 9 6 dxdx 9 x15 7 x15 42 x 6 2x 4 2x 3 16 x15 42 x 6 4x 7 iii d dx x 7 x 3 3 x 2 7 13. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 896 dxdx 9 x15 7 x15 42 x 6 2x 4 2x 3 16 x15 42 x 6 4x 7 iii d dx x 7 x 3 3 x 2 7 x 7 x 3 6 x 3 x 2 7 7 x 6 3 x 2 14. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 896 dxdx 9 x15 7 x15 42 x 6 2x 4 2x 3 16 x15 42 x 6 4x 7 iii d dx x 7 x 3 3 x 2 7 x 7 x 3 6 x 3 x 2 7 7 x 6 3 x 2 6 x8 6 x 4 21x8 9 x 4 49 x 6 21x 2 15. Calculus Rules d 2. Product Rule uv uv vu dxWrite down the FIRST and DIFF the SECOND, PLUS write down the SECOND and DIFF the FIRST e.g. i y x 7 x 9 6 ii y x 2 2 x 3dy x 9 x x 6 7 x x 2 2 2 x 31 dy7 896 dxdx 9 x15 7 x15 42 x 6 2x 4 2x 3 16 x15 42 x 6 4x 7 iii d dx x 7 x 3 3 x 2 7 x 7 x 3 6 x 3 x 2 7 7 x 6 3 x 2 6 x8 6 x 4 21x8 9 x 4 49 x 6 21x 2 27 x8 49 x 6 15 x 4 21x 2 16. iv y 3x x 4 2 5 17. iv y 3x x 4 2 5 dy dx 2 4 3 x 5 x 4 2 x x 4 3 2 5 18. iv y 3x x 4 2 5 dy dx 2 4 3 x 5 x 4 2 x x 4 3 2 5 30 x x 4 3 x 4 2 24 2 5 19. iv y 3x x 4 25 dy dx2 4 3 x 5 x 4 2 x x 4 3 2 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 20. iv y 3x x 4 2 5 dy dx 2 4 3 x 5 x 4 2 x x 4 3 2 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 24 x 4 33 x 2 12 2 4 21. iv y 3x x 4 2 5 dy dx 2 4 3 x 5 x 4 2 x x 4 3 2 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 24 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4 22. iv y 3x x 4 2 5 dy dx 2 4 3 x 5 x 4 2 x x 4 3 2 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 24 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 23. iv y 3x x 4 2 5 dy dx 2 4 3 x 5 x 4 2 x x 4 3 2 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 1 2 x 2 x 1 2 24. iv y 3x x 4 2 5dydx 2 4 3 x 5 x 4 2 x x 4 32 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 1 2 x 2 x 1 2dydx 11 1 2 x 2 x 1 2 2 2 x 1 2 2 2 25. iv y 3x x 4 2 5dydx 2 4 3 x 5 x 4 2 x x 4 32 5 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 1 2 x 2 x 1 2dydx 11 1 2 x 2 x 1 2 2 2 x 1 2 2 2 1 1 2 x 2 x 1 2 2 2 x 1 2 26. iv y 3x x 4 2 5dydx 2 4 2 5 3 x 5 x 4 2 x x 4 3 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 1 2 x 2 x 1 2dydx 11 1 2 x 2 x 1 2 2 2 x 1 2 2 2 1 1 2 x 2 x 1 2 2 2 x 1 2 1 2 2 x 12 x 2 x 1 27. iv y 3x x 4 2 5dydx 2 4 2 5 3 x 5 x 4 2 x x 4 3 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 1 2 x 2 x 1 2dydx 11 1 2 x 2 x 1 2 2 2 x 1 2 2 2 1 1 2 x 2 x 1 2 2 2 x 1 2 1 2 2 x 12 x 2 x 11 2 2 x 1 3x 12 28. iv y 3x x 4 2 5dydx 2 4 2 5 3 x 5 x 4 2 x x 4 3 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4 x 4 33 x 2 12 2 4 3 x 4 11x 2 4 2 4v y 2x 2x 1 1 2 x 2 x 1 2dydx 11 1 2 x 2 x 1 2 2 2 x 1 2 2 2 1 1 2 x 2 x 1 2 2 2 x 1 2dy 2 3 x 11 2 2 x 12 x 2 x 1dx 2x 11 2 2 x 1 3x 12 29. iv y 3x x 4 2 5dydx 2 4 2 5 3 x 5 x 4 2 x x 4 3 30 x x 4 3 x 4 2 24 2 5 x 4 30 x 2 3 x 2 4 2 4Exercise 7F; 1ac, 2bdf, x 4 33 x 12 2 423a, 4ad, 5, 6ac, 3 x 4 11x 2 4 427, 9, 13a*v y 2x 2x 1 1 2 x 2 x 1 2dydx 11 1 2 x 2 x 1 2 2 2 x 1 2 2 2 1 1 2 x 2 x 1 2 2 2 x 1 2 dy 2 3 x 11 2 2 x 12 x 2 x 1 dx 2x 11 2 2 x 1 3x 12 </p>