# How do you find the derivative of #x^(3/2)#?

See Power Rule.

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To find the derivative of ( x^{\frac{3}{2}} ), you can use the power rule for differentiation. According to the power rule, if you have a function in the form ( x^n ), where ( n ) is a constant, the derivative is ( nx^{n-1} ). Applying this rule to ( x^{\frac{3}{2}} ), the derivative is ( \frac{3}{2}x^{\frac{3}{2}-1} ), which simplifies to ( \frac{3}{2}x^{\frac{1}{2}} ). Therefore, the derivative of ( x^{\frac{3}{2}} ) is ( \frac{3}{2}x^{\frac{1}{2}} ).

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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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