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1
The A B C of the
Differential Calculus
Cases sometimes occur, however, in which the functiou is such that for the value
of x which makes the differential coefficient, = 0, the differential coefficient., also =
0. In such cas< s, if there be a finite third differential coefficient, or differential ...
William Dyson Wansbrough,
1912
2
A treatise on the
differential calculus
Partial differentiation of implicit functions of any number of independent variables
Simple functions Differential coefficient of x" Differential coefficient of log„ x
Differential coefficient of ax Differential coefficient of sin x Differential coefficient of
cos ...
3
An elementary treatise on the
differential and integral ...
These formulae express the following general rules of differentiation : I. The
differential coefficient of a variable with respect to itself is unity. II. The differential
coefficient of a constant is zero. III. The differential coefficient of the sum of two ...
George Abbott Osborne,
1905
4
The
differential and integral calculus
In the several functions which have been differentiated, it may be observed, that
the differential coefficient is a function of the variable in general different from the
primitive function. This function therefore itself may be differentiated, and another
...
5
Elementary Illustrations of the
Differential and Integral ...
When the differential coefficient of a function of x has been found, the result,
being a function of x, may be also differentiated, which gives the differential
coefficient of the differential coefficient, or, as it is called, the second differential
coefficient.
6
The
differential and integral calculus. [Followed by] ...
We have already had occasion to notice these successive differential coefficients
in page 12, where it appears that 0'x being the first differential coefficient of 0x, 0''
x is the coefficient of h in the development (p'(x + A), and is therefore the ...
7
The
Differential and Integral Calculus Containing ...
We have already had occasion to notice these successive differential coefficients
in page 12, where it appears that ¢'.r being the first differential coefficient of (151,
¢".r is the coefficient of h in the development ¢'(.r + It), and is therefore the ...
8
Elements of the
differential and integral calculus
If the second differential coefficient reduces to zero, the signs of equations (3)
and (4) will again be opposite, and there can be neither a maximum nor a
minimum unless the third differential coefficient reduces to zero, in which case
the sign of ...
9
An elementary treatise on the
differential and integral calculus
In the several functions which have been differentiated, it may be observed, that
the differential coefficient is a function of the variable in general different from the
primitive function. This function therefore itself may be differentiated, and another
...
10
The elements of the
differential calculus: comprehending the ...
.../<'+»>-/(*>_ A+BA+W + «C hence, when A = 0, from which result we learn, that
the coefficient of the second term, in the development of the Junction f(x + A), is
the differential coefficient derived from the Junction f(x); so that the finding the ...
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When the President speaks
... he can provide the differential coefficient between the distant scene and the immediate, the far-effect rather than the instant, the climate rather ... «The Hindu, Paz 13»