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[latex]1)y= x^{3} -2 x^{2} +x+2 \\ y=3 x^{2} -4x+1 \\ [/latex] [latex]2)y=x*(sinx+1) \\ y=1*(sinx+1)+x*cosx \\ [/latex] [latex]3)y= \frac{sinx}{ x^{2} +3} \\ y= \frac{cosx*( x^{2} +3)-sinx*2x}{ (x2+3)^{2} } \\ [/latex] [latex]4)y=(8x-15)^{5} \\ y=5(8x-15)^{4} *8=40(8x-15)^{4} \\ [/latex] [latex]5)y=sin(4x+ \frac{ \pi }{6} ) \\ y=cos(4x+ \frac{ \pi }{6})*4[/latex] [latex]6)y= x^{3} +2x \\ y=3 x^{2} +2 \\ [/latex] [latex]7)y=(( \sqrt{x} +1)*\sqrt{x} ) \\ y= \frac{1}{2} x^{- \frac{1}{2} } * \sqrt{x} +( \sqrt{x} +1)* \frac{1}{2} x^{- \frac{1}{2} } [/latex] [latex]8)y=( \frac{6}{x}-2x ) \\ y=-6x^{-2} -2[/latex] [latex]9)y=(2sinx-13) \\ y=2cosx[/latex] [latex]10)y=(3-x)^{5} \\ y=5(3-x)^{4} *(-1)=-5(3-x)^{4} [/latex] [latex]11)y=sin(3x-9) \\ y=cos(3x-9)*3=3cos(3x-9)[/latex] [latex]12)y=cos(5x+7) \\ y=-5sin(5x+7)[/latex]