# How do you find the derivative of #3*(sqrtx) - (sqrtx^3)#?

Multiply the exponents in the second term to get:

Now, each term can be differentiated through the power rule, which states that

Recall that constants being multiplied simply stay being multiplied. Applying the power rule to each term gives a derivative of

Simplify.

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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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