![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
Observe the graph.
\The function represents a absolute function.
\The general form of parabola equation is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=01c1970d1e4fa0d5dd2f701cd7181b8d.png\")
, where ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=34028da541e068af909372497ecb8d3f.png\")
is vertex of the function.
Vertex of the function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=124e1c5d068c9d95cc8252ba7f06a3d7.png\")
.
Absolute function is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9a185f4521ec015d719d1a7e6c9a1ade.png\")
.
The function is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d40b8a6a23a0c6dced148a8d60208192.png\")
.
![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
Find the derivative of the function.
\Definition of derivative of the function : ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=dc22db3e68661445a528669c9c75ab0b.png\")
.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b360bef1cbdcf3d54bdde10ad300c436.png\")
![\"\"](\"/userfiles/image/steps_images/step3.JPG\")
Graph :
\Graph the function ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e9aa3845243822d930e5cf2f5908e2bc.png\")
.
![\"\"](\"/userfiles/104-48(3).gif\")
![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The graph of the derivative of the function is
.