(a)

The function is and the point is .

Graph:

Graph the function and its derivative.

Observe the graph:

The derivative of the function at  is .

(b)

Slope of the tangent at point is the derivative of the function at that point.

Slope of the tangent line .

Find the tangent line equation using the formula .

.

The tangent line equation is .

(c)

Graph:

Graph the function and tangent line.

.

(a)

(b) The tangent line equation is .

(c)

.