Modul
e
7 : Applications of Integration - I
Lecture
19 : Definition of the natural logarithmic function [Section 19.1]
PRACTICE EXERCISES
1.
Let
be a differentiable function of
,
for any
. Show that the function
is
differentiable with
2.
Compute the following:
(i)
(ii)
(iii)
3.
Analyse the following functions for relative maxima/minima and inflection points:
(i)
.
(ii)
.
(iii)
.
1
2
3
4
5
6
7
8
9
10
11
12
13
be a differentiable function of 
, 
for any 
. Show that the function 
is 
. 
. 
. 
