# NCERT Class 11 Mathematics Solutions: Chapter 13 – Limits and Derivatives Miscellaneous Exercise Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-8 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.

1. Find the derivative of the following functions (it is to be understood that are fixed non-zero constants and are integers) :

Answer:

So,

By, first principle

[As ]

2. Find the derivative of the following functions (it is to be understood that are fixed non-zero constants and are integers) :

Answer:

By product rule,

… eq (1)

By first principle

… eq (2)

Accordingly,

By first principle,

… eq (3)

From eq (1) , (2) and (3)