# How do you find the derivative of #(x-3)/(2x+1)#?

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Thus, inserting that yields:

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To find the derivative of ((x-3)/(2x+1)), apply the quotient rule which states that the derivative of (u/v) is ((v*u' - u*v')/v^2). (u = x-3) and (v = 2x+1). The derivatives are (u' = 1) and (v' = 2). Applying the quotient rule gives ((v*u' - u*v')/v^2 = ((2x+1)*(1) - (x-3)*(2))/(2x+1)^2). Simplify this expression to get the derivative.

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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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