Given the curve y=x^2 -6x +8, find the turning point.
For a turning point, the differential of the curve is equal to 0. Therefore dy/dx = (12)x^(2-1) - (61)x^(1-1) + 0 = 0. This gives x = 3. Substitute this back into the original equation to get y=-1. Therefore the turning point is at (3, -1).