Critical Points and Differential Equations
The function $$y=f(x)$$ is a solution to the differential equation $$\displaystyle \frac{dy}{dx} = xy$$, and its graph passes through the points $$(0, 3)$$ and $$(-1, 2)$$. Which of the following statements must be true?
A
Neither $$(0, 3)$$ nor $$(-1, 2)$$ is a critical point of $$f$$.
B
$$(-1, 2)$$ is a critical point and $$(0, 3)$$ is not a critical point of $$f$$.
C
$$(0, 3)$$ is a critical point and $$(-1, 2)$$ is not a critical point of $$f$$.
D
Both $$(0, 3)$$ and $$(-1, 2)$$ are critical points of $$f$$.
Question Leaderboard
Not enough data yet to show leaderboard.