{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

{[ snackBarMessage ]}