d/dx cos(x)
-sin(x)
d/dx tan(x)
sec^2(x)
d/dx csc(x)
-csc(x)cot(x)
d/dx sec(x)
Sec(x)tan(x)
d/dx cot(x)
-csc^2(x)
lim as x approaches 0 of sin(x)/x
1
lim as x approaches 0 of cos(x)-1/x
0
d/dx arcsin(x)
1/(1-x^2)^1/2
d/dx a^x
a^x[ln(a)]
d/dx arccos(x)
-1/(1-x^2)^1/2
d/dx arctan(x)
1/(1+x^2)
d/dx arccot(x)
-1/(1+x^2)
d/dx arcsec(x)
1/(x(x^2-1)^1/2)
d/dx arccsc(x)
-1/(x(x^2-1)^1/2)
d/dx sin(x)
cos(x)
(f^-1)’(x)
1/f’(f^-1(x))
d/dx logb(x)
1/(xln(b))
d/dx ln(x)
1/x