The equation  and point .

a-i)

Using the definition 1: 

Slope of the tangent of the curve  at point : .

Slope of the tangent line to the curve  is .

a-ii)

Using the equation (2):

Slope of the tangent of the curve  at point : .

Here .

                       (2)

Now first evaluate  by replacing  by  in .

Then evaluate  by replacing  by  in the expression for .

.

Substitute these two values in the above equation (2).  

b)

Point-slope form of line equation: .

Slope  and point .

Tangent line equation is .

c)

Graph:

1) Draw the coordinate plane.

2) Graph the curve .

3) Graph the tangent line .

4) Plot the point .

(a) Slope of the tangent line is .

(b) Tangent line equation is .

(c) The graph of the curve and tangent line

 .