Tangents and Derivatives Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Find an equation for the tangent to the curve at the point Then sketch the curve and tangent together.

(2) Find an equation for the tangent to the curve at the point Then sketch the curve and tangent together.

(3) Find an equation for the tangent to the curve at the point Then sketch the curve and tangent together.

(4) Find an equation for the tangent to the curve at the point Then sketch the curve and tangent together.

(5) Find an equation for the tangent to the curve at the point Then sketch the curve and tangent together.

(6) Find an equation for the tangent to the curve at the point Then sketch the curve and tangent together.

(7) Find an equation for the tangent to the curve at Then sketch the curve and tangent together.

(8) At what points does the graph of the function have horizontal tangents?

(9) Find an equation of the straight line with slope that is tangent to the curve

(10) What is the rate of change of the area of a circle with respect to the radius when the radius is

(11) Does the graph of have a tangent at the origin? Give reasons for your answer.

(12) Does the graph of have a vertical tangent at the origin? Give reasons for your answer.

(13) Does the graph of have a vertical tangent at the point ? Give reasons for your answer.

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