Persamaan garis singgung kurva y= x2-3x +3 yang tegak lurus y= x+ 6 adalah..

M garis y = x + 6 –> m1 = 1
tegak lurus m2 = – 1/m1 = – 1

y  = x² – 3x + 3
m2 = y' = 3x – 3 = -1
3x = 2 –> x1 = 2/3, y1 = (2/3)² -3(2/3) + 3 = 4/9 – 2 + 3 = 13/9

y = m2( x – x1)  +y1
y = -1 (x – 2/3) + 13/9
y = -x + 2/3 + 13/9
9y = -9x + 6 + 13
9y = -9x + 19
9x + 9y – 19 = 0