I have a problem and to check that I have it correct as I do not have answers.

y=8x sin(3x^4-2)^3 - the product rule kicks in here

y'=8 sin(3x^4-2)^3 + 8x cos(3x^4-2)^3 (3)(3x^4-2)^2 (12x^3)

Can someone check to see if I understand this please?

Thanks

Joanne