Calculus
k′(x)=12x5+20x4+27x2k^{\prime}\left(x\right)=12x^5+20x^4+27x^2
k′k^{\prime}′(x)=12x4+20x3+27x^{\prime}\left(x\right)=12x^4+20x^3+27x
k′k^{\prime}′'′′(x)=^{\prime}\left(x\right)= 12x3+20x2+2712x^3+20x^2+27
k′k^{\prime}′'′′(x)=^{\prime}\left(x\right)=′(x)= 48x3+60x2+2748x^3+60x^2+27
k′k^{\prime}′(x)=60x4+80x3+54x^{\prime}\left(x\right)=60x^4+80x^3+54x
k′k^{\prime}′'′′(x)=^{\prime}\left(x\right)=′(x)= 60x3+80x2+5460x^3+80x^2+54
k′k^{\prime}′'′′(x)=^{\prime}\left(x\right)=′(x)= 240x3+240x2+54240x^3+240x^2+54