Interpreting The Derivative As A Rate Of Change

Question

A curve is defined by the equation $$\sin(xy) = x + y$$. At a point $$(a, b)$$ on this curve, the value of the derivative $$\frac{dy}{dx}$$ is -2. Which of the following statements must be true?

Accepted Answer

As x increases by 1, y decreases by 2

Answer

As x increases by 1, y decreases by 0.5

Answer

As y increases by 1, x decreases by 2

Answer

As x increases by 1, y increases by 2

Interpreting The Derivative As A Rate Of Change

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