The equation and point .

a-i)

Using the definition 1: 

Find the slope of the tangent of the curve  at the point : \ \

provided that this limit exists.

Slope of the tangent line to the curve is .

a-ii)

Using the equation (2):  

Here  

Now first evaluate by replacing by in .

Then evaluate by replacing by in the expression for . 

Substitute these two values in the above equation .  

b)  

Point-slope form .

Here slope , point .

c) Graph:

1) Draw the coordinate plane.

2) The graph the curve .

3) Graph the tangent line . \ \

4) Plot the point .

(a) -2

(b) 

(c) The graph of the curve and tangent line