Ejercicios Derivadas

y= sin2x6

y'=cos2x6 d(2x6)dx

y'=cos2x6 -2ddx(2x6)x12

y'=cos2x6 -2(6x5)x12

y'=-12cos2x6x7

y=sin4x+3

y'=cos4x+3 ddx(4x+3)1/2

y'=cos4x+3 12(4x+3)-1/2 ddx (4x+3)y'=cos4x+3 124x+3 4

y'=2cos4x+3 4x+3

y=sinsin2x

y'=cos(sin2x) ddxsin2x

y'=cos(sin2x) cos2xddx2x

y'=2cos(sin2x) cos2x

y=3sinx = (sinx)1/3

y'=13(sinx)-2/3 ddxsinxy'=13(sinx)2/3 cosx

y'=cosx3(sinx)2/3

y=(sin3x)3

y'=3(sin⁡3x)2 ddxsin3x

y'=3(sin⁡3x)2 cos3x3

y'=9(sin⁡3x)2cos3x

y=cos(3x2+x-1)

y'= -sin3x2+x-1 ddx(3x2+x-1)

y'= -sin3x2+x-16x+1

y'= -(6x+1) sin3x2+x-1

y=12(cos5x)2

y'= 12 2cos5xddxcos5x

y'= cos5x-sin5x ddx5x

y'= -5 sin5x cos5x

y= cos 5-3x2

y'= -sin5-3x2ddx (5-3x2)1/2

y'= -sin5-3x212(5-3x2)-1/2ddx(5-3x2)

y'= -sin5-3x2 -6x25-3x2

y'= -3xsin5-3x25-3x2
y=sincscx

y'= coscscx ddxcscx

y'= coscscx-cscxcotx

y'= -coscscx cscx cotx

y= x2 cos2x

y'= x2 ddx cos2x+cos2x ddx x2y'= x2 -sin2x ddx2x + cos2x 2x

y'= x2 (-sin2x 2) + cos2x 2x

y'= 2xcos2x-2x2 sin2x

y= 2sin2xb

y'= 2ddxsin2x b

y'= 2cos2xddx 2xb

y'= 2 cos2x2b

y'= 4 cos2xby=1-sinx = (1-sinx)1/2

y'=121-sinx-12 ddx1-sinx

y'=121-sinx-12 -cosx

y'=-cosx21-sinx

y=4(cos(2x-1))2

y'=4 2cos2x-1ddxcos2x-1

y'=8 cos2x-1 -sin(2x-1)ddx(2x-1)

y'=8 cos2x-1(-2 sin⁡(2x-1))

y'=8 cos2x-1 (-2 sin⁡(2x-1))

y'=-16sin2x-1 cos2x-1

y=(5x+Tg x)-5

y'=-5(5x+Tg x)-4d5x+Tg xdx

y'=-5(5x+Tg x)-45+Sec2x

y'=-55x+Tg x4 5+Sec2x

y'=-5(5+Sec2x)(5x+Tgx)4

y=-5Ctg x3

y'=-5-Csc2x3dx3dx

y'=-5-Csc2x313

y'=-53Csc2x3

y=4sec4x

y'=4d(Sec 4x)12dx

y'=412(Sec 4x)-12d(Sec 4x)dx

y'=2(Sec 4x)-12 4Sec 4x Tg 4x

y'=8(4Sec 4x Tg 4x) Sec4xy=4x2Sec 4x

y'=4x2d(sec4x)dx+ sec4x d(4x2)dx

y'=4x24Sec4x tg4x+ sec4x 8x

y'=16x2Sec4x tg4x+ 8x sec4x

y=12sec sin 4x

y'=12 sec sin 4x tg sin 4x d(sin 4x)dx

y'=12 sec sin 4x...