The equation of the curve is  and point .

Slope of the tangent of the curve  at : .

Substitute  in the above expression.

Slope of the tangent line is .

(b)

Find the tangent line at point .

Substitute  in slope of the tangent line.

Point-slope form of line equation: .

Substitute , and point .

Tangent line equation at  is .

Find the tangent line at point .

Substitute  in slope of the tangent line.

Point-slope form of line equation: .

Substitute  , and point .

Tangent line equation at  is .

c) Graph:

Graph the curve .

Graph the tangent line to the curve at the point .

Graph the tangent line to the curve at the point .

(a)

Slope of the tangent to the curve  at  is .

(b)

Tangent line equation at  is .

Tangent line equation at  is .

(c) The graph of the function and the tangent lines:

.