Derivatives of Various Functions: Calculus, Cheat Sheet of Reasoning

Download Derivatives of Various Functions: Calculus and more Cheat Sheet Reasoning in PDF only on Docsity! y=— 11) (Vx—xE =—> YO y'=15é lL 15 226 (xj=—* 12) f(x)=—— ) Fla) 1+2tanx d| x? (x) =| —*__ f dx\ 1+2tan|x!| 2 4?) 46/142 tan|x||—~ *4 11 40 tan|x_]| fixi=& (1+2tan|x!| f (x}=2x%(1+ 2tan(x))—x7*2 secdé f'(x)=2x*cosdé 13) f (x)=—* 1=tanx cosx | 1—tanx |—| L-tare| © cosx| fixl= be \__ (cosx}|~sec?x| —|1—tanx||~sinx| Px we sinx )(1—tanx }+secx be 14) f(a)=—S2e8 ~1+sec0 fo) Sec Blt +sec |) “(1 +sec(8} seci6) be *(g) =( See (8) tan (6) (1+ sec|8||~(see(@ |tan|8)| sec 6) Pel= ce +/q)—sin(@) (j= snl 1 15) f(ZJ=s5 dj ag dy; 2_d ( Diy) D | y7)=F 4) ax * ib xy a>! ; dy 2x+yt+x —2 y|=0 dy \ (x|| 2 )(—2 yj=-2 x— *\ ax | y xy \x-2y|=-2x-y —2x-y x—2y Se 20) 2x°+x? y-xy'=2 d,3, d/o) d)/ 3_d —2 —| —-—| =—=)2) dx dg ay OY ay 2 2G a Exile y 24 y|_| A ixialy'|) Ely" x0 2 d (y)*dy 2«3 2 2 x o* } _ xX + xyt dx dx 2 6x74 2xy+ 2 x(1)edy dx 6x24? xedy | 3 3 yo*d | y)*d | + + | y°+3x > x xy x dx dx 2 6x2+2xys 225 dx 2 2. x*dy 3 y*d —y?-3xY*£=9 a 6x°+ 2xy+ x +2xy ck x «dy 3x y *dy = ok ak —6x°-2xy+y® [x73 xy?}* dy 3x yredy 6.2 2xyt+y® dx dx yey dy _—6x°—2xy+y® ix x-3xy