Page 48 - DMTH201_Basic Mathematics-1

Unit 2: Trigonometric Functions-II

Notes
=

=

=

Thus, =

Next, we consider logarithmic function

y =log(ax +b) …(i)
y + y = log[a(x + x) + b] …(ii)
[ x and y are corresponding small increments]
From (i) and (ii), we get

y = log[a(x + x) + b] – log(ax + b)

=

=

=

=

=

Talking limits on both sides as dx 0

=

LOVELY PROFESSIONAL UNIVERSITY 41