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:

=

=

=


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