NCERT Class 11 Mathematics Solutions: Chapter 13 –Limits and Derivatives Miscellaneous Exercise Part 7
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Derivation Definition
In image derivative definition is shown.
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)