# How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrtx#?

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To find the derivative of ( f(x) = \sqrt{x} ) using the limit definition of the derivative:

- Start with the function ( f(x) = \sqrt{x} ).
- Use the definition of the derivative: ( f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} ).
- Substitute ( f(x) = \sqrt{x} ) into the definition.
- Simplify the expression and compute the limit as ( h ) approaches 0.

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