An inflection point is a location on a curve at which it alters its concavity. To pinpoint these inflection points, you'll need to compute the second derivative of the function, equate it to zero, and then solve for x. To confirm whether the curve indeed changes its concavity, you should evaluate the intervals surrounding each potential solution in the second derivative.
| Topic | Problem | Solution |
|---|---|---|
| None | 8. Find the value of the constant $b$ such that t… | Find the second derivative of the function $f(x) = \sqrt{x+1} + \frac{b}{x}$. |