In problems 1 and 2, find the derivatives and evaluate them at the points indicated. In problems 3 and 4, find the critical numbers of the function. Do all your work on separate paper.

Use radian mode on your calculator.

1. at x = 1

2. at

3.

4.

5. Find the equation of the tangent line to the ellipse

in the first quadrant where x = 2.4

( Express your answer in the form Ax + By =C )

6. A ladder 61 ft. long is leaning against the side of a house. The base of the ladder is sliding away from the house at a rate of 6 ft/sec. At what rate is the top of the ladder sliding down the house when the base of the ladder is 11 ft. from the house ?

In problems 7 and 8, sketch the graphs and label critical points that are max and min, intervals of increasing and decreasing, intervals of concave up and down, any inflection points and any vertical or horizontal asymptotes.

7.

8.

Subject | Mathematics |

Due By (Pacific Time) | 08/08/2014 12:00 am |

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