If it says to identify 5 critical points what would that be?
To identify critical points, you need to find the values of x where the derivative of the function changes sign or is equal to zero.
Here's a step-by-step explanation of how to find the critical points of a function:
1. Start with a given function.
2. Compute the first derivative of the function.
3. Set the derivative equal to zero and solve for x. This will give you the values of x where the function's slope is zero, which are potential critical points.
4. Check the sign of the derivative in the intervals between the critical points you found in step 3. Test a point from each interval in the derivative to determine if it is positive or negative.
5. If the sign of the derivative changes from positive to negative or vice versa at a point, that point is a critical point.
In summary, to identify 5 critical points, you need to follow these steps to find the values of x where the derivative of the function changes sign or is equal to zero. Once you have those values, you can determine if they are indeed critical points by checking if the sign of the derivative changes around those points.