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Form Five                                                                                                                                          Form Five


              4.  Instruct students to attempt Exercise 8.9 in the Student’s Book.
                  Advise students to submit their work; check the correctness of
                  their answers, and provide them constructive feedback.

         FOR ONLINE READING ONLY
          Answers to Exercise 8.9
                    1                            1
            2.   −                         6.   −
                 1 x+  2                       1 x+  2
                        x 2                                x 2
            4.                            9.   2 sinx  − 1  x +
                ( a −  2  x 2 ) a −  2  x 2               1 x−  2


                  1− (1 x+  2 ) y 3 cos x            5                  2
            5.                            10. (a)              (b)  −

                (1 x+  2 )(1 3y+  2 sin  ) x       1 25x−  2         12x−  2


          Computer packages for differentiating polynomial and trigono-
          metric functions

          Teaching steps
             1.  Assist students through discussion to recognize mathematical
                 softwares such as Maple, MATLAB, and other packages that
                 are  used  for  differentiating  polynomial  and  trigonometric
                 functions.

             2.  Use Examples  8.33 to 8.35 in  the  Student’s Book to guide
                 students and assist them in differentiating functions by using
                 the Maple software.
             3.  Use Examples  8.36 to 8.38 in  the  Student’s Book to guide
                 students and assist them in differentiating functions by using
                 the MATLAB software.
             4.  Guide  students  through  discussions  to  differentiate  various
                 polynomial and trigonometric functions by using Maple and
                 MATLAB softwares from suggested resources.


                                                 158
         Mathematics for Advanced Secondary Schools



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