Derivatives

d/dx C

= 0

d/dx CU

= c * d/dx U

d/dx x^c

C x^c-1

d/dx u^c

= c u^c-1 * u^I

d/dx ( u +- v) 

= d/dx U +- d/dx v

d/dx (u * v)

= u v^I + v * u^I

d/dx (u/v)

= v * u^I - uv^I

_(v)²

sin U

= cos U * u^I

cos U

-sin U * u^I

tan U

sec² u * u^I

cot U 

= -csc² u * u^I 

sec U

= sec U * tan U * U^I

csc U 

= -csc I cot U * U^I

ln U

u^I / U

e^U

e^u  * u^I

arc sin U

u^I / rad 1-u²