# How do you find the derivative of #f(x) = x + sqrt(x)#?

Use algebra and the power rule.

Applied to your specific problem...

(Use your knowledge of algebra to rewrite the root as an exponent...)

(Now just take the derivative by using the power rule...)

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Chain Rule is not needed here. Just use thee Power Rule.

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To find the derivative of ( f(x) = x + \sqrt{x} ), you can use the power rule and the chain rule. The derivative is ( f'(x) = 1 + \frac{1}{2\sqrt{x}} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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