A line that touches a curve at a point where the curve's slope is null is what we call a horizontal tangent line. In order to locate it, one has to determine the derivative of the function first. Following that, you equate it to zero and solve for the variable x. This method helps to pinpoint the places where the rate of change of the function is zero.
| Topic | Problem | Solution |
|---|---|---|
| None | For the function, find the point(s) on the graph … | Given the function \(y=\frac{1}{3} x^{3}-4 x^{2}+20 x+9\), we are asked to find the point(s) on the… |