Example Find equations of the tangent and the normal at a point A = (6,4) to the curve A = (6,4) 2 0 4 6 8 10 10 y² = 11- 4-x Solution We begin by differentiating both sides of the equation DELL Esc F1 F2 F3 F4 F5 F6 F7 B B A F8 QID F9 F10 F11 F12 7 £ $ % 2 3 4 € 5 7 8 9 7 8 9 0 Home SysRq End PrntScr Insert Pause Delete Backspace

Find the slope ofthe line in Figure l.

Can the average rate of change of a function be constant?

A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of its flight. When x = 2, the duck takes a hit and thereafter its flight follows the trajectory of a tangent line. What is the coordinate when x=4.