AP Calculus ABmediummcq1 pt

For x0x \neq 0, what is the derivative of y=x43x2+5x2y = \frac{x^4 - 3x^2 + 5}{x^2}?

A.2x10x32x - 10x^{-3}
B.2x+10x32x + 10x^{-3}
C.4x36x4x^3 - 6x
D.2x5x22x - 5x^{-2}

Explanation

Core Concept

Simplifying the function to x23+5x2x^2 - 3 + 5x^{-2} and applying the power rule to each term yields the derivative 2x10x32x - 10x^{-3}.

Correct Answer

A2x10x32x - 10x^{-3}

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