NCERT Class 11 Mathematics Solutions: Chapter 13 –Limits and Derivatives Miscellaneous Exercise Part 7

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In image derivative definition is shown.

Derivation Definition

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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)