The function x 2 + 5 x − 4 2 x − 3 is a quotient of the two functions f ( x) = x 2 + 5 x − 4 and g ( x) = x 2 + 3. So, we need to find f ′ ( x) = 2 x + 5 and g ′ ( x) = 2 x (using the power and sum and difference rules), and then apply the quotient rule:
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