Chain Rule and Derivatives of Trig Functions

d/dx (sin u)

Cos u * u’

d/dx (csc u)

-csc u cot u * u’

d/dx (tan u)

sec² u * u’

d/dx (cos u)

-sin u * u’

d/dx (sec u)

sec u tan u * u’

d/dx (cot u)

-csc² u * u’

d/dx (ln u)

1/u * u’

d/dx (sin x)

cos x

d/dx (csc x)

-csc x cot x

d/dx (tan x)

sec² x

d/dx (cos x)

-sin x

d/dx (sec x)

sec x tan x

d/dx (cot x)

-csc² x

d/dx (tan x)

1/x