When you differentiate you find the equation which lets you find the gradient of the equation at a specific point.To do so you multiply the power of the x by the respective coefficient, then that becomes the new coefficient, finally subtract 1 from the power.So (45)x^(5-1) + (23)x^(3-1) - (11)x^(1-1) + (20) = 20x^4 + 6x^2 -1