d/dx ( sin^4/4 - sin^6/6 + C) =
sin^3x(cosx) - sin^5x(cosx) =
cosx(sin^3x)(1 - sin^2x) =
cosx (sin^3x)(cos^2x) =
sin^3xcos^3x
And
d/dx(-cos^4x/4 + cos^6x/6 + C)=
-(sinx)(-cos^3x) - (sinx)cos^5x =
(sinx)(cos^3x)(1 - cos^2x) =
(sinx)(cos^3x)(sin^2x) =
(cos^3x)(sin^3x) = sin^3xcos^3x
And they are exactly the same.....!!!
d/dx ( sin^4/4 - sin^6/6 + C) =
sin^3x(cosx) - sin^5x(cosx) =
cosx(sin^3x)(1 - sin^2x) =
cosx (sin^3x)(cos^2x) =
sin^3xcos^3x
And
d/dx(-cos^4x/4 + cos^6x/6 + C)=
-(sinx)(-cos^3x) - (sinx)cos^5x =
(sinx)(cos^3x)(1 - cos^2x) =
(sinx)(cos^3x)(sin^2x) =
(cos^3x)(sin^3x) = sin^3xcos^3x
And they are exactly the same.....!!!