Subjects calculus

Points Inflection

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Points Inflection


1. Let's start by understanding the problem: Points of inflection are points on a curve where the concavity changes, which means the second derivative of the function changes sign. 2. To find the y-coordinates of points of inflection, we first need the function $y=f(x)$ and then find its second derivative $f''(x)$. 3. The points of inflection occur where $f''(x)=0$ or $f''(x)$ is undefined, and the concavity changes around those points. 4. After finding the x-values where $f''(x)=0$ or is undefined, substitute these x-values back into the original function $y=f(x)$ to find the corresponding y-coordinates. 5. Without a specific function, we cannot compute exact y-coordinates. Please provide the function $y=f(x)$ to proceed with finding the points of inflection and their y-coordinates.