# How do you find the derivative of #x*sqrt(x+1)#?

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To find the derivative of ( x \sqrt{x+1} ), you can use the product rule of differentiation. The product rule states that if you have two functions, ( u(x) ) and ( v(x) ), the derivative of their product is given by ( u'(x)v(x) + u(x)v'(x) ). Applying the product rule to ( x \sqrt{x+1} ), we have ( u(x) = x ) and ( v(x) = \sqrt{x+1} ). Now, find the derivatives of ( u(x) ) and ( v(x) ), and then apply the product rule to get the derivative of ( x \sqrt{x+1} ).

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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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