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$1)frac{15}{(6x-4)^{10}}$

2) $y=x^{x}$

3)y= $y=frac{x^{2}+1}{x+1}$

4)y= $y=frac{5}{x^{2}}$

5) $2x^{3}-x+pi$

1) $(frac{15}{(6x-4)^{10}})=(15(6x-4)^{-10})= 15*((6x-10)^{-10})= 15*frac{(6x-10)^{-10-1}}{-10-1}*(6x-10)= frac{-15}{11(6x-4)^{11}}*6=-frac{90}{11(6x-10)^{11}}$

2) $y=x^x=e^{x ln x}$

$y=(e^{xlnx})=(e^{xlnx})*(xln x)=x^x*( x(ln x)+(x)ln x)=x^x*(x*frac{1}{x}+1*ln x)=x^x*(ln x+ 1)$

3) $y=frac{x^2+1}{x+1}$

$y=(frac{x^2+1}{x+1})=frac{(x^2+1)*(x+1)-(x^2+1)*(x+1)}{(x+1)^2}= frac{2x*(x+1)-(x^2+1)*1}{(x+1)^2}=frac{2x^2+2x-x^2-1}{(x+1)^2}=frac{x^2+2x-1}{x^2+2x+1}$