Apentix/AP Calculus AB/Unit 2: Differentiation: Definition and Basic Derivative Rules/Question
AP Calculus ABeasymcq1 pt

What is the derivative of f(x)=5x+1x2−4f(x) = \frac{5x+1}{x^2-4}?

Explanation

Core Concept

Applying the quotient rule gives 5(x2−4)−(5x+1)(2x)(x2−4)2\frac{5(x^2-4) - (5x+1)(2x)}{(x^2-4)^2}, which correctly expands and simplifies to this expression.

Correct Answer

q5_a

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    What is the derivative of $f(x) = \frac{5x+1}{x^2-4}$? | AP Calculus AB | Apentix