Show all your work in the space provided under each question. Please write neatly and present your answers in an organized way; answers which are illegible or confusing will be counted as incorrect. (7 pts) 1(a). Find dy dx if y = sin2( x) . (7 pts) (b). Use a linear approximation of an appropriate function at an appro- priate point to estimate 3 126 . Locate all relative extrema of f and determine all intervals where f is increasing, decreasing, concave up and concave down. Use this information to draw a graph of f . On your graph label the relative extrema and points of in ection. x3. A printed page must contain 60 cm2 of printed material. There are to be margins of 5 cm. on either side and margins of 3 cm. on the top and bottom. By using either the rst or second derivative test you need to prove that you really have found the minimum.
