If the equation of a curve is x^2 + 9x + 8 = y, then differentiate it.

First we must establish how to differentiate terms individually. This is done by using the simple method of multiplying the X by the power, and subtracting one away from the power. To make it easier we will differentiate each term individually and then put the equation back together at the end. 1. x^2 2x^(2-1) =2x 2. 9x 19x^(1-1) = 9x^0 =91 = 9 3. 8 08^(0-1) = 0 Therefore dy/dx = 2x+9 This would be useful if the gradient needed to be found. To find the gradient at a point all you need to do is substitute in the X value.