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Math21ADerFormulas

Math21ADerFormulas - Math 21B Kouba Differentiation Rules...

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Unformatted text preview: Math 21B Kouba Differentiation Rules from Math 21A and Trig Identities 1.) D(c) 2 0 2.) D(m:1: + b) = m 3.) D(m”) : mun—1 4-) D(f($) i9 m) = f'($) i 9'($) 5-) D(Cf($)) = Cf’($) 6-) D(ff(g3))9(m ) =( )(flgig’)(w);r )’(0lc()g)($) i _ g a: a: — a: g x 7') D( (x ) g<w>>2 8.) D(em) 2 ex 9.) D(CLCC :awlna 10) D(lna:) 2% 11.) D(loglJ ac) — l10gbe 12.) D(s1n:z:): 008$ 13.) D(cosw) = —s1n:c 14.) D(tan$) : sec2 :3 15.) D(c0t :13) : —csc2 a: 16.) D(sec ac) 2 secmtanac 17.) D(csca:) = —cscmcota: 1 18.) D(arctanw) = 1 +1302 19.) D(arcsina:) = W 20.) D(arcsecm) : Wm Trig Identities 1.) cos2 x + Sin2 a: : 1 2.) sin 2w 2 2sinmcosa: 3.) cos 23: = 2COS2 :1: — 1 ..... so that ..... 0052 a: = (1/2)(1 + cos 23:) 2 1 — 2sin2 ac ..... so that ..... sin2zc : (1/2)(1 —— cos 2x) = cos2 :1: — sin2 a: 4.) 1 + tanz x 2 see2 a: 5.) 1 + cot2 w : csc2 a: ...
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