PROFESSOR KELLAND ON GENERAL DIFFERENTIATION. 993 
Ex. 5. pee. =(-— oy fs eel oad 2 +é&e. } 
(a+a)” (a+a)” (at+a#+1)™ 
=(-—1)”" ay 3 if aw=at+e2 
Ex. 6. To find att 

piiey ete eh ay 1 
By formula (2), 4° >= =i{- i | at onan he 
9S ages 
Let aes Free Cc 
d 1 bet 
then dg 79" g9- 5G 9” &e,) 
=y"* (1-9) 
oe 1 
— and tiaviif y-*(l-y)' dy 
= of Mae fT ee 
ju+3 
Ex. 7. To find a” z 
ey ees 1 n n(n—1) 1 
(Sat oo sea 8} 


: a+ 1 
Let en + &e. 
Zz z+1 
d n 
then oa =y’-!(1-y) 
nl n I nol n 
and are a(-1 fl x) day" dy 
Cay Fenny EE 
Cor. 1. If n be a whole ERED [etn+1 =z (441)... (e+n) |x 



oak a 1.2. 
ae 1 z (e+)... (+m) 
Con. 2. Ifm=4.a ee gaa 
Ex. 8. To jind, a" —, m being any integer. 

nel 1" a 1 a n (n—1) 1 
a ee) gn ~ a4 y™ 1.2 (4+2)™ 
VOL. XVI. PART III. 45 


—é&e. } by formula (2). 

