Ejercicios Derivadas
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(sin3x)2 ddxsin3x
y'=3(sin3x)2 cos3x3
y'=9(sin3x)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...
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