Derivatives of trig functions

\frac{d}{dx}\left(\arcsin u\right)

(1/sqrt(1-u²)) * u’

\frac{d}{dx}\left(\arccos u\right)

(-1/sqrt(1-u²)) * u ’

\frac{d}{dx}\left(\arctan u\right)

(1/1+u²) * u’

\frac{d}{dx}\left(\operatorname{arcsec}u\right)

(1/|u|sqrt(u²-1)) * u’

\frac{d}{dx}\left(arc\cot u\right)

-1/(1+u²) * u’

\frac{d}{dx}\left(\operatorname{arccsc}u\right)

-1/(|u|sqrt(u²-1)) * u’

\frac{d}{dx}\left(\sin\left(u\right)\right)

cos(u)

\frac{d}{dx}\left(\cos\left(x\right)\right)

-sin(x)

d/dx[tan x]

sec²x

d/dx [cot x]

-csc²x

d/dx [sec x]

sec x * tan x

d/dx [csc x]

-csc x * cot x