50 EXAMPLES OF DIFFEKENTIAL COEFFICIENTS. 



EXAMPLES. 



dy c 



1. y = c*Jx. -/=;r-7-. 



dx 2 V# 



a x dy a 



** 41 _ ^.*' _ __. .. 



y ~ x dx~ x*' 



_ \ +x dy _ 1 2o 



~ dx 



4. y / AV->!^ / ~j^ 



rfy 2 



o. y = log cotan x. j = ^~ 



* ax sin 2a; 



y -7(^ 8 ^^)' 



as 9 dy _ 3a; a 



^"(l-x 1 )*' <fo~(l- 



8. y = e s> (l-a; s ). ^ = e* (1 



9. =o;- 



10. =2a;- 



1L y = (?r dy_ n 



\nj dx 



12 v= x * fy. nx 



A ^^ -V / - \ - i 



