Differentiate: y=12x(2x+1)+1/x

This question has two parts, firstly the "12x(2x+1)" this is a product rule format, the 1/x is a simple differentiation format but for ease should be written as "x^(-1)" solution: dy/dx= 12(2x+1)+12x(2)-x^(-2) this can be simplified by expanding brackets first then collecting terms: dy/dx= 24x+12+24x-x^(-2) Then we collect terms to get the final answer of: dy/dx=48x+12-x^(-2)