Step 1:

(a)

The function is .

The slope of the tangent line can be find out by derivation of the function at .

Apply derivative on each side

Step 2:

slope at the point , Substitute in .

Step 3:

Use point-slope form of equation .

Substitute point and slope in the above equation.

Step 4:

(b)

Graph the function   and tangent line  In same viewing window.

Step 5:

Now verify the result using the derivative feature of the graphing utility.

Solution:

(a) The tangent line is .

(b)

(c)