1 y=cos²x-sin²x=cos2x y`=-2sin2x 2 y=2sinxcosx=sin2x y`=2cos2x 3 3)y = sin 3x cos 5x + cos 3x sin 5x=sin(3x+5x)=sin8x y`=8cos8x 4 4)y = cos 4x cos 6x - sin 4x sin 6x =cos(6x+4x)=cos10x y`=-10sin10x 5 y=(1-x³)^5 y`=5(1-x³)^4*(-3x²)=-15x²(1-x³)^4 6 y=√(x³+3x²-2x+1)
y=cos²x-sin²x=cos2x
y`=-2sin2x
2
y=2sinxcosx=sin2x
y`=2cos2x
3
3)y = sin 3x cos 5x + cos 3x sin 5x=sin(3x+5x)=sin8x
y`=8cos8x
4
4)y = cos 4x cos 6x - sin 4x sin 6x =cos(6x+4x)=cos10x
y`=-10sin10x
5
y=(1-x³)^5
y`=5(1-x³)^4*(-3x²)=-15x²(1-x³)^4
6
y=√(x³+3x²-2x+1)
7
y=sin³x
y`=3sin²x*cosx
8
y=√ctgx