The functions are  and .

(a) Determination of :

Consider 

Differentiate with respect to  on each side.

Product rule of derivatives: .

.

Substitute  in the above expression.

.

 is the slope of the tangent line to the curve  at .

 is the slope of the tangent line to the curve  at .

From the graph, we have  and .

Consider two points on the tangent line to the curve   at  .

The two points are  and .

Slope of the tangent line .

.

Consider two points on the tangent line to the curve  at .

The two points are  and .

Slope of the tangent line .

.

Consider .

Substitute corresponding values in above expression.

.

(b) Determination of :

Consider .

Differentiate with respect to  on each side.

Quotient rule of derivatives: .

.

Substitute  in the above expression.

From the graph,  , .

 is the slope of the tangent line to the curve  at .

Consider two points on the tangent line to the curve   at .

The two points are  and .

Slope of the tangent line .

 is the slope of the tangent line to the curve  at .

Consider two points on the tangent line to the curve   at .

The two points are  and .

Slope of the tangent line .

Consider 

Substitute corresponding values in above expression.

(a) .

(b) .