click below
click below
Normal Size Small Size show me how
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 |