derivatives of trig

d/dx(arcsinx)=

1/√(1-x²)

d/dx(arccosx)=

-(1/√(1-x²))

d/dx(arctanx)=

1/(1+x²)

d/dx(arccotx)=

-(1/(1+x²))

d/dx(arcsecx)=

1/(|x| √(x^2-1))

d/dx(arccsc)=

-(1/(|x| √(x^2-1)))

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec^2 (x)

d/dx cot(x)

-csc^2 (x)

d/dx sec(x)

sec(x)tan(x)

d/dx csc(x)

-csc(x)cot(x)