Differentiate y= (3x^2+2x-6)^8

This is an example of where we must use the chain rule:
Firstly as with simpler differentiation we multiply the function by the power then subtract 1 from the power to get:
8(3x^2+2x-6)^7
Then we must also multiply this by the differential of the function in the bracket which is 6x+2, to get:
dy/dx = 8(6x+2)(3x^2+2x-6)