Mathematics
Mathematics
Problem
Consider the quadratic function , where is a real constant. For which value of does have a critical point at ? a) b) c) d)Intuitive explanation
A critical point occurs where the derivative equals zero—that's where the function stops increasing or decreasing. Since is quadratic, its derivative is linear, and you can find it by differentiating term by term. Once you set that derivative equal to zero and use the condition that the critical point is at , you'll have a single equation in to solve.
Intuitive explanation
A critical point occurs where the derivative equals zero—that's where the function stops increasing or decreasing. Since is quadratic, its derivative is linear, and you can find it by differentiating term by term. Once you set that derivative equal to zero and use the condition that the critical point is at , you'll have a single equation in to solve.