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1. Find the derivative of following functions from first principle:
(i)
(ii)
(iii)
(iv)
Ans. (i)Given: then
= = =
(ii)Given:
then
= = =
(iii)Given:
then
=
= =
(iv)Given:
then
=
=
=
Find the derivative of the following functions (it is to be understood that and are fixed non-zero constants and and are integers).
2.
Ans. Given:
= 1
3.
Ans. Given:
=
= =
4.
Ans. Given:
=
5.
Ans. Given:
= =
6.
Ans. Given:
=
= =
7.
Ans. Given:
=
8.
Ans. Given:
9.
Ans. Given:
10.
Ans. Given:
=
11.
Ans. Given:
=
12.
Ans. Given:
= =
13.
Ans. Given:
14.
Ans. Given:
=
15.
Ans. Given:
=
16.
Ans. Given:
= =
=
17.
Ans. Given:
18.
Ans. Given:
19.
Ans. Given:
=
20.
Ans. Given:
=
21.
Ans. Given:
= =
22.
Ans. Given:
23.
Ans. Given:
=
24.
Ans. Given:
25.
Ans. Given:
26.
Ans. Given:
27.
Ans. Given:
=
28.
Ans. Given:
=
29.
Ans. Given:
30.
Ans. Given:
=
=
=
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