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 ]