Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3

Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if understood properly. 

To arrive at the answer, there are 4 steps: 1) multiply the 5 by the indicie (3) and then subtract one from the indicie. 2) Same principle, multiply the 4 by 2, then subtract one from the 2. 3) As there is no indicie, just take the figure in front of the x. 4) as there is no x term, we remove it altogether.