Differentiation questions

Differentiate y with respect to x:

y=6x^2+5x-10

$$y = 6x^{\textcolor[rgb]{1,0,0}{2}} +5x^{\textcolor[rgb]{1,0,0}{1}} -10x^{\textcolor[rgb]{1,0,0}{0}}}\\\\ y' = 6\cdot \textcolor[rgb]{1,0,0}{2} \cdot x^{ \textcolor[rgb]{1,0,0}{2} - 1 } + 5 \cdot \textcolor[rgb]{1,0,0}{1} \cdot x^{ \textcolor[rgb]{1,0,0}{1} - 1 } - 10 \cdot \textcolor[rgb]{1,0,0}{0} \cdot x^{ \textcolor[rgb]{1,0,0}{0} - 1 }\\\\ y'= 12x^1+5x^0+0\\\\ y' = 12x+5$$