NCERT Class 11 Mathematics Solutions: Chapter 13 –Limits and Derivatives Miscellaneous Exercise Part 5

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In image defination of derivative is shown.

Defination of Derivative

In image defination of derivative 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:

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

Answer:

Accordingly,

By first principle,

(Using binomial theorem)