Объяснение:

1.

y=(x²-1)³

y'=(x²-1)³)d/dx=(g³)d/dg•(x²-1)d/dx=

=3g²•2x=3(x²-1)²•2x=6x•(x⁴-2x²+1)=

=6x⁵-12x³+6x

2.

y=sin²2x

y'=(sin²2x)d/dx=(g²)d/dg•(sin2x)d/dx=

=2g•cos2x•2=2sin2x•cos2x•2=

=2•sin4x

3.

y=(8x²+8)²

y'=((8x²+8)²)d/dx=(g²)d/dg•(8x²+8)d/dx=

=2g•16x=2•(8x²+8)•16x=256x³+256x