The process of locating where dy/dx is zero requires identifying the points on a graph where the gradient is zero, indicating that the curve is temporarily flat. These points can often represent local peaks or valleys. This is typically achieved by computing the derivative of the function, equating it to zero, and subsequently finding the value of x.
| Topic | Problem | Solution |
|---|---|---|
| None | Use derivatives to find the critical points and i… | First, find the first and second derivatives of the function \(f(x) = x^5 - 10x^3 - 12\): |