Find the absolute Extrema of given Function, on given interval and state where those values occur. .?
find all the local max/min
find the f(x) at the ends of the interval.
...
Find the absolute Extrema of given Function, on given interval and state where those values occur.
Answer:
To find the absolute extrema of a function on a given interval, you need to follow these steps:
1. Find the critical points of the function within the interval by taking the derivative of the function and solving for when it equals zero or is undefined.
2. Evaluate the function at the critical points and the endpoints of the interval.
3. Compare the values obtained in step 2 to determine the absolute maximum and minimum values of the function within the interval.
Note: Sometimes, the function may not have absolute extrema on the given interval.
Could you please provide me with the function and the interval so that I can guide you through the calculations?