Technical/LaTeX errors

[physicsnerd]

Derivatives

1. Line 1 "Differential calculus is all about finding the slope of a curve. "
2. Line 15 is very inaccurate.
3. Line 18 is not concise.
4. In Line 46 you should mention that c is a constant and n is non-zero.
5. Learning differentiation without learning limit?
6. Use "\mathrm dx" instead of "dx" when typesetting.
7. Line 70 should be in the beginning.
8. Line 64 can be elaborated like each of the three rules below.
9. Line 82 contains no mention that sin/cos = tan.
10. Line 87 is wrong. 1/cos^2(x) does not evaluate to sin^2(x).
    Integrals
11. Line 1 "The point of the integral is to find the area under a curve. "
12. Line 2 area > signed area
13. Line 62 this is not called the product rule
14. Line 63 what is wrong here?
    Limits
15. Line 1 "The purpose of limits is to find what a function approaches at a certain number that it is not defined for. "
16. Line 8 The constant e is not 2.72.
17. Line 23 it's called an "indeterminate form".
18. Line 104 integral?
    Terms To Know
19. Line 16...
20. Line 20 is plain wrong.
21. Line 25: actually you don't do work when carrying a book horizontally.
    Solutions
22. Line 7: use (x^2 - 5) instead of x^2 - 5.
23. Line 10: I think you meant \int^5_3.
24. Line 11: parentheses.
25. Line 18: wrong variable.
26. Line 32: some typo.
27. Line 55: The 5 disappears...
28. Line 57: Hooke's law says F = -kx where k is positive, so you can't have 10x....

Thanks to a user on MSE for reviewing this and giving these comments.