APFIVE Interpreting The Derivative As A Rate Of Change
For the implicitly defined function $$\sin(xy) = x + y$$, suppose a point $$(a, b)$$ on the curve has $$\frac{dy}{dx} = -2$$. Which statement must be true?
A
As x increases by 1, y decreases by 0.5
B
As y increases by 1, x decreases by 2
C
As x increases by 1, y decreases by 2
D
As x increases by 1, y increases by 2
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