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Sections

Continuity and Differentiability

Pick a section. You read the idea first, then answer questions on it.

1. Unbroken vs smooth1 ideaRead
2. Continuity at a point1 ideaRead
3. Algebra of continuous functions1 ideaRead
4. Continuity of a piecewise function1 ideaRead
5. LHD, RHD and differentiability1 ideaRead
6. LHD/RHD vs LHL/RHL1 ideaRead
7. Check continuity first1 ideaRead
8. Differentiable implies continuous1 ideaRead
9. Continuous does not mean smooth1 ideaRead
10. Where |x| fails to be smooth1 ideaRead
11. The chain rule1 ideaRead
12. A two-layer chain rule1 ideaRead
13. Inverse trig derivatives1 ideaRead
14. Chain rule on inverse sine1 ideaRead
15. Derivative of the exponential1 ideaRead
16. Derivative of the natural log1 ideaRead
17. Implicit differentiation1 ideaRead
18. Slope on a circle1 ideaRead
19. Logarithmic differentiation1 ideaRead
20. Differentiating a variable power1 ideaRead
21. Parametric derivatives1 ideaRead
22. Slope of a parametric circle1 ideaRead
23. The second derivative1 ideaRead
24. Second derivative with the product rule1 ideaRead
25. Rolle’s theorem1 ideaRead
26. The Mean Value Theorem1 ideaRead
27. Verifying the MVT1 ideaRead
28. Unbroken, then smooth1 ideaRead
29. Practice set — continuity1 ideaRead
30. Practice set — differentiability1 ideaRead
31. Practice set — chain rule1 ideaRead
32. Practice set — inverse trig1 ideaRead
33. Practice set — exp and log1 ideaRead
34. Practice set — log differentiation1 ideaRead
35. Practice set — parametric1 ideaRead
36. Practice set — second derivative1 ideaRead
37. Practice set — miscellaneous1 ideaRead