Apentix/AP Calculus AB/Unit 5: Analytical Applications of Differentiation/Question

AP Calculus ABeasymcq1 pt

If $x^2+y^2=25$ , then $\dfrac{dy}{dx}=$

A.

\dfrac{x}{y}

B.

-\dfrac{y}{x}

C.

2x+2y

D.

-\dfrac{x}{y}

Explanation

Core Concept

Differentiating gives $2x+2y\cdot y'=0$ , and solving for $y'$ gives $y'=-x/y$ .

Correct Answer

D $-\dfrac{x}{y}$

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