d

dx [arccot u]

-u'

1+u²

d

dx [arccos u]

-u′

√1-u²

d

dx [tan u]

(Sec²u)u′

d

dx [arcsin u]

u′

√1-u²

d

dx [cos u]

-(sin u)u′

d

dx [sin u]

(cos u)u′

d

dx [x]

1

d

dx [e^u]

e^uu′

d

dx [c]

0

d

dx [uⁿ]

nu^n-1u′

d

dx [u± v]

u′± v′

d     u

dx [ v ]

vu′ - uv′

    v²

d

dx [arccsc u]

-u′        

lul√u²-1

d

dx [cu]

cu′

d

dx [arcsec u]

  u′     

lul√u²-1

d

dx [ln u]

u′

u

d

dx [loga u]

 u′ 

(ln^a)u

d

dx [uv]

uv′+vu′

d

dx [arctan u]

 u′ 

1+u²

d

dx [sec u]

(sec u tan u)u′

d

dx [cot u]

-(csc² u)u′

d

dx [csc u]

-(csc u cot u)u′

d

dx [a^u]

(ln a) a^uu′

d

dx [lul]

 u 

lul  u′, u≠0