## DESCRIPTION ## Text inserted into other problems ## ENDDESCRIPTION ## KEYWORDS() ## Tagged by jjh2b 8/22/06 ## DBsubject('ZZZ-Inserted Text') ## DBchapter('ZZZ-Inserted Text') ## DBsection('ZZZ-Inserted Text') ## Date('9/15/04') ## Author('K. Lesh') ## Institution('Union College') ## TitleText1('') ## EditionText1('') ## AuthorText1('') ## Section1('') ## Problem1('') BEGIN_TEXT \{image(insertGraph($graph),width=>300,height=>300,tex_size=>900)\} $BR $PAR Identify the graphs A (blue), B(red) and C (green) as the graphs of a function \(f(x)\) and its derivatives \(f'(x)\) and \(f''(x)\). $BR (Clicking on the sketch will give you a version of the picture in a separate window.) $PAR \{ans_rule(4)\} is the graph of the function, \(f(x)\) . $BR \{ans_rule(4)\} is the graph of the function's first derivative, \(f'(x)\) . $BR \{ans_rule(4)\} is the graph of the function's second derivative, \(f''(x)\) . $PAR $BBOLD Hint: $EBOLD Remember that \(f'(x)\) is itself a function, and we can find the derivative of the function \(f'(x)\), which is called the second derivative of the function \(f(x)\) and denoted by \(f''(x)\). END_TEXT