( 369 ) 

 CHAPTER XXVI 



TRACING OF CURVES. 



34-0. IN this Chapter we shall give some examples of 

 tracing curves from their equations. 



Example (1). Let ff'= a?-g (1)> 



First find the value of -?- : taking the logarithms of both 

 dx 



sides of the equation and differentiating, we have 

 1 dy _ 1 x x 



ydx x x* la? x* a* ' 



c dy , x *J(3? 4a 2 ) fl x x } fn \ 

 therefore -f- = ,,\ *r L ]~+ 2 5 if ( 2 )- 



Next find the asymptotes : since 



r- 



therefore = 



Hence y= CB 



and y = x 



are asymptotes. 



T.D.C. BB 



