# What is the derivative of #-(5-x^2)^(1/2) #?

We will pull the negative sign ( - ) out, and rewrite as

We will use the Chain Rule now to move on, as there are two functions to deal with

We will rewrite the Expression [ B ] as

Using these two results in Expression [ C ], we obtain

This expression simplifies to

This expression simplifies to

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The derivative of -(5-x^2)^(1/2) with respect to x is:

-(-1/2)(5-x^2)^(-1/2)(-2x) = x(5-x^2)^(-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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