# DERIVATIVE OF SQUARE ROOT OF X USING FIRST PRINCIPLE

Formula to find derivative of a function f(x) by first principle :

This is also called as limit definition of the derivative.

Derivative of x using first principle :

Let f(x) = x.

## Solved Problems

Find the derivative of each of the following.

Problem 1 :

Solution :

We already know the derivative of √x, which is ¹⁄2. We can find the derivative of the given function using chain rule as shown below.

Problem 2 :

Solution :

Problem 3 :

Solution :

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Solution :

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Solution :

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Solution :

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Problem 8 :

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Problem 15 :

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Problem 16 :

Solution :

Problem 17 :

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Problem 18 :

Solution :

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