# NCERT Solutions class-11 Maths Miscellaneous

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Miscellaneous Exercise

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:

=

=

=