Full text: welcher die Differential-Rechnung enthält (Erster Theil)

vomGebrauchderDifferentialrechnung.ZOz 
«Log./1 4“* 4“ A*\ =w Log./i 4“*\ 4" n&x 
.( i+x_+ Aa\=b Log./i 4“*\ 
\ r T/ V V 
¿4- * 
— «Ax 3 4“ rc. 
2(^4-x) 1 
/)Log. 4” * + A — pLog.^i +_f^+ 
pAx — p/\x* 4- rc 
C-\-X 2(^4“^)^ 
und so weiter. 
Hieraus bekomt man also 
Log.iL 4- Qi'A* — (Qs'Ä*) 4 + re. = 
2 2 ('S) 1 
mLog.(t 4" x ) + m A* — m/Ax 1 4- re. + 
a a-\~x 2 (¿4“*)* 
«Log/i4”*^4" w A* — «A* 3 4“ &• 4“ 
b b 4- * 2 ( £ 4" */ 
pLog/1 4~*j4“ fAx — /?A* 3 4- rc. + 
' c 4“ * 2(^4-^)^ 
2Log.ii 4“ x \4“ <7 Aj* — i/Ax 1 4” rc. 
\ ¿/ ¿4~* 2(^4"^)’ 
rc. rc. rc. rc. 
Nimt man nun auf beiden Seiten gleiches von gleir 
chen weg und dividirt durch A ^, so wird 
Qi' — (9f') 3 A * 4“ rc. oder 
~~sT 2Sv . 
A4-BA^ 4- CA^ 1 + rc. —(A')'A^4-rc.--- 
S 2 S 3
	        
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