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# 11X1 T08 08 implicit differentiation

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### Transcript

• 1. Differentiability
• 2. Differentiability A function is differentiable at a point if the curve is smooth continuous
• 3. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 y x
• 4. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 not differentiable at x = 1 y x
• 5. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 not differentiable at x = 1 y x
• 6. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 not differentiable at x = 1 y x
• 7. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 not differentiable at x = 1 y x y x
• 8. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 not differentiable at x = 1 1 y x y x
• 9. Differentiability A function is differentiable at a point if the curve is smooth continuous 1 1 not differentiable at x = 1 1 differentiable at x = 1 y x y x
• 10. Implicit Differentiation
• 11. Implicit Differentiation
• 12. Implicit Differentiation
• 13. Implicit Differentiation
• 14. Implicit Differentiation
• 15. Implicit Differentiation
• 16. Implicit Differentiation
• 17. Implicit Differentiation
• 18. Implicit Differentiation
• 19. Implicit Differentiation
• 20. &nbsp;
• 21. &nbsp;
• 22. &nbsp;
• 23. &nbsp;
• 24. &nbsp;
• 25. &nbsp;
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• 27. &nbsp;
• 28. &nbsp;
• 29. &nbsp;
• 30. Exercise 7K; 1acegi, 2bdfh, 3a, 4a, 7, 8