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Chapter two derviati
| Question | Answer |
|---|---|
| sin(x+y) | Sin(x)cos(y)+cos(x)sin(y) |
| cos(x-y) | cos(x)cos(y)-sin(x)sin(y) |
| d/dx csc(x) | -csc(x)cot(x) |
| d/dx sec(x) | sec(x)tan(x) |
| d/dx cot(x) | -csc^2(x) |
| d/dx arcsin(x) | 1/sqrt(1-x^2) |
| d/dx arccos(x) | -(1/sqrt(1-x^2)) |
| d/dx arctan(x) | 1/1+x^2 |
| arccsc(x) | -(1/x*squrt(x^2-1)) |
| d/dx arcsec(x) | -(1/x*squrt(x^2-1)) (1/x*squrt(x^2-1)) |
| arccot(x)d/dx | (1/1+x^2) |
| d/dx log<a>(x) | 1/x*ln(a)) |
| d/dx e^(f(x)) | f'(x)*e^(f(x)) |
| lim(x goes to zero)sin(x)/x | 1 |
| lim(x goes to zero)cos(x)-1/x | 0 |