.\" eqn tbl ms
.\" ----------------------------------------------------------------
.EQ
delim $$
define tg       %{type "operator" roman "tg"}%
define ctg      %{type "operator" roman "ctg"}%
define sec      %{type "operator" roman "sec"}%
define cosec    %{type "operator" roman "cosec"}%
define arcsec   %{type "operator" roman "arcsec"}%
define arccosec %{type "operator" roman "arccosec"}%
define ddx      %{{roman d} over {roman d x}}%
.EN
.TS
box expand tab(@);
cb  s  s  s  s   s  s  s
c   s  s  s  s   s  s  s
rb0 l0 c0 l  rb0 l0 c0 l.
Derivatives and Integrals
Basic Derivation Rules
.sp
15. @ $ddx [      sec u ]$ @ $=$ @ $ (   sec u  tg u )^{u prime}$ @ \
16. @ $ddx [    cosec u ]$ @ $=$ @ $-( cosec u ctg u )^{u prime}$
.sp .5
21. @ $ddx [   arcsec u ]$ @ $=$ @ $ {u prime} over {|u| sqrt {u sub "" sup 2 - 1}}$ @ \
22. @ $ddx [ arccosec u ]$ @ $=$ @ $-{u prime} over {|u| sqrt {u sub "" sup 2 - 1}}$
.sp .5
.TE