Expand the numerator by the binomial theorem (see p. 141).
;
hence ,
,
when this becomes atmosphere per degree Centigrade change of temperature.
Exercises III. (See the Answers on p. 255.)
(1) Differentiate
- (a)
- (b)
- (c)
- (d)
(2) If , find .
(3) Find the differential coefficient of
.
(4) Differentiate
.
(5) If , find .
(6) Differentiate