(a)

The function is  and the point is .

Definition of slope of the tangent line at  : .

Slope of the tangent line is .

Find the equation of tangent line with slope  and point .

Equation of tangent line is .

(b)

Graph :

Graph the function and tangent line passing through the point .

(c)

Graph :

Graph the function and tangent line passing through the point  using derivative feature.

Observe the graph.

The function  and its tangent line  is meets at point .

(a) Equation of tangent line is .

(b)

Graph of the function and tangent line passing through the point  is

(c)

Graph of the function and tangent line passing through the point  using derivative feature is

.