when finding the staionary points how do u know min and max
To determine whether a stationary point is a minimum or maximum, you can use the second derivative test.
1. Find the second derivative of the function at the stationary point.
2. Evaluate the second derivative at the stationary point.
3. If the second derivative is positive at the stationary point, then it is a minimum.
4. If the second derivative is negative at the stationary point, then it is a maximum.
Alternatively, you can also analyze the behavior of the function around the stationary point by looking at the sign of the first derivative. If the first derivative changes from positive to negative at the stationary point, then it is a maximum. If the first derivative changes from negative to positive at the stationary point, then it is a minimum.