NCERT Class 11 Mathematics Solutions: Chapter 13 – Limits and Derivatives Miscellaneous Exercise Part 1 (For CBSE, ICSE, IAS, NET, NRA 2023)
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1. Find the derivative of the following functions from first principle:
(i)
(ii)
(iii)
(iv)
Answer: (i)
Consider
Accordingly,
By first principle,
Answer: (ii)
Let
Accordingly,
By first principle,
Answer: (iii)
Consider
Accordingly,
By first principle,
[As ]
Answer: (iv)
Consider,
Accordingly,
By first principle,
[As ]