Question

How to find the relative minima of a function.

A. Relative extremum finder
B. Minima and maxima calculator
C. Function turning points
D. Critical values analysis

Answer 1

To find the relative minima of a function, you can follow these steps: find the derivative, set it equal to zero to find the critical points, and use the second derivative test to determine whether each critical point is a relative minimum.

Step-by-step explanation:

To find the relative minima of a function, you can follow these steps:

1. Find the derivative of the function.
2. Set the derivative equal to zero and solve for x to find the critical points.
3. Determine whether each critical point is a relative minimum by using the second derivative test.

The second derivative test states that if the second derivative is positive at a critical point, then it is a relative minimum. If the second derivative is negative, then it is a relative maximum. If the second derivative is zero, the test is inconclusive.