# How do you differentiate f(x)= (3x-2)^10 * (5x^2-x+1)^12 using the product rule?

I found: $f ' \left(x\right) = {\left(3 x - 2\right)}^{9} {\left(5 {x}^{2} - x + 1\right)}^{11} \left[510 {x}^{2} - 306 x + 54\right]$