M119 Project 2 – Spring 09

Date Due: Value: 10 points

Objective: Use technology to evaluate slope of tangent at a point and verify equation of

tangent line.

For each of the following functions graph the function in a window which will include the given point.

a) Use 2^nd: Calc – 6:dy/dx and type the specific x-value to evaluate the derivative

at the given point.

b) Show work to write the equation of the tangent line.

c) Graph the tangent line to verify and use 2^nd Draw – 5: Tangent to double check the

equation of the tangent line.

1.

a)

b) Equation of tangent line at x = -1

c) Sketch of graph of function and tangent line:

2.

a)

b) Equation of tangent line at x = 2:

c) Sketch of graph of function and tangent line:

3.

a)

b) Equation of tangent line at x = 3:

c) Sketch of graph of function and tangent line: