I. x*+px-hq = o, yj

zdq

sin<p= -*-2-«

«r' = -V^.tang|<p, x* = — v^.cotjy.

x*-{-px -|-^ = o.

tang ? = ^i/|, tangx=^tang^

^'=-a\/5.cot2x,

x" | = y 3 ' cot2 * =*= ' V? • cosécax- H. x^x+^o, (~>Ç)-

sin? = |^ y/y, tangx = v^àng^ .

x* = — % i/|cosécax»

^« | =. i/f cosécax ± *V? • cot2xin. x»-/>x-h? = o, (^<-j')-

"* fSS %\F

| = 2y/|cos(6o«>±iy).

&sinx = 2sinyAxcos(x4-7Ax). . &cosx = sinAx . 4

AtangX = ; — — r* ACOtX =

° cosxcos(x-f-Atf) Asin'x = — A.cos a x = sin Ax sin (a a: 4- Ax).

— 2 8in}Axsin(x-f-|Ax)

sinAx "~"sinxsin(x-f-Ax) -

«/sinx = cosxdx.

dx a tango? =

</cosx = — sinxdx.

dx a cota? = ■

cos'x sin*x

t/.sin'x = — rf.cos'x = 2sinxcosxdx = sin2xdx.

d log sin x = cotx dx. d log cosx = — tangx dx.

idx idx

d log tangx = — rf log cotx = — /ro ' N