IB mathematics formula sheet, Cheat Sheet of Mathematics

Download IB mathematics formula sheet and more Cheat Sheet Mathematics in PDF only on Docsity! M at he m at ic s 3 1 / 3 1 IB F or m ul a Sh ee t B A SI C D IF FE R EN TI A TI O N R U LE S Fi rs t P rin ci pl es : If ( ) y f x  t he n 0 ( ) ( ) ( ) lim h dy f x h f x or f x dx h      P ow er R ul e: If n x y  th en 1 n n d x n x dx       C on st an t R ul e: If k y  t he n 0 ] [  dxk d P ro du ct R ul e: If v u y   th en   d dv du uv u v dx dx dx     Q uo tie nt R ul e: If vu y  th en 2 du dv v u d u dx dx dx v v           C ha in R ul e: I f ( ), y g u  w he re ( ) u f x  th en dy dy du dx du dx   EX PO N EN TI A L & L O G A R IT H M IC F U N C TI O N S dxdu e e dxd u u   dxdu b b b dxd u u    ln dxdu u u dxd   1 ln 1 lo g ln b d du u dx u b dx   TR IG O N O M ET R IC F U N C TI O N S dxdu u u dxd   co s si n dxdu u u u dxd     co t cs c cs c dxdu u u dxd    si n co s . dxdu u u u dxd    ta n se c se c dxdu u u dxd   2 se c ta n dxdu u u dxd    2 cs c co t B A SI C IN TE G R A TI O N R U LE S    C kx dx k        1 , 11 n C nx dx x n n         1 , )1 ( ) ( ) ( 1 n C n a b ax dx b ax n n C x w ri te x If x C x dx x       ln 0 0 , ln 1    C e dx e x x     C x dx x si n co s      C x dx x co s si n     C x dx x ta n se c2      C x dx x co t cs c2     C x dx x x se c ta n se c      C x dx x x cs c co t cs c     )1 ( ln a C a a dx a x x