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let f(x)= x−3 2x 1 . for this problem, use the following definition of the derivative, f'(a)= lim x→ a f(x)−f(a) x−a

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Final answer:

The subject of this question is mathematics and it involves finding the derivative of a given function using the definition of the derivative.

Step-by-step explanation:

The subject of this question is mathematics and it specifically deals with the concept of derivatives.

The function f(x) = x-3/(2x+1) is given. To find the derivative of this function, we can use the definition of the derivative, which states that the derivative of a function at a point is equal to the limit of the difference quotient as x approaches that point.

Using this definition, we can find the derivative of the given function by plugging in the function and the point into the formula, simplifying the expression, and taking the limit as x approaches the given point.

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