Review - Math 21B Kouba Differentiation Rules from Math 21A...

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Unformatted text preview: Math 21B Kouba Differentiation Rules from Math 21A and Trig Identities 1.) D(c) = 0 2.) D(m:c + b) = m 3.) D(a:") 2 man—1 4.) D(f(x) i9 33) = Hit) it 9’(-’E) 5-) D(Cf($)) = Cf’( ) 6-) D(f 1520))906 )=( )(fvl)(9')(w) ngfl’fggfffi) :c _ g a: a: — :1; g a: 7') D(g(w ) g($))2 8.) D(ez) = 6“” 9.) D(a”” = a”C Ina 1 11.) D(10gb ac) — —10gbe 12.) D(s1nx) — cosar; 13.) D(cosa:) : —sin:1: 14.) D(tanw) : sec2 at: 15.) D(c0t 3:) = —csc2 a: 16.) D(secm) = secwtana: 17.) D(Csca:) : —csc:cc0tw 1 18.) D(arctanw) = 1 + $2 19.) D(arcsinm) = \/11——132 20.) D(a7~csec m) = W Trig Identities 1.) 0082 cc + sin2 a: = 1 2.) sin2w = 2sinmc0sa: ) 3. cos 2x = 2cos2 m — 1 ..... so that ..... cos2 x = (1/2)(1 + cos 23:) = 1 — 2sin2 a: ..... so that ..... sin2 33 : (1/2)(1 — cos 2m) : cos2 :1: — sin2 a: 4.) 1 + tan2 a: : S€C2 a: 5.) 1 + cot2 :c : (:302 ac ...
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  • Spring '07
  • MAT21B

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