MEANING OF DIFFERENTIATION
85
will be times as great as ; as magnified in Fig. 21. So, draw the line in Fig. 20 at this slope.
Fig. 21.
(3) Now for a slightly harder case.
Let
.
Again the curve will start on the -axis at a height above the origin.
Now differentiate. [If you have forgotten, turn back to p. 26; or, rather, don’t turn back, but think out the differentiation.]
.
Fig. 22.
This shows that the steepness will not be constant: it increases as increases. At the starting point ,