Special curves ?The following classical curves have been studied hy generations of mathematicians. Use analytical m ? ethods (?including implicit differe?ntiation) ?and a graphing utility to graph the curves described by the following equations. Include as much detail as possible. ? ? ? y4 ? x?? 4?? 4?y2 + 5? 4 ? 0 Devil's curve

Solution 73AE Step1 Given equation 4 4 2 2 y -x -4y +5x =0 Step2 Differentiate the given equation implicitly we get dx (y -x -4y +5x )=2 dx 0 dy dy 4y 3 dx- 4x -4*2y dx+5*2x=0 3 dy 3 (4y -8y) dx-( 4x...