10 10 O A. (3,8) B. (6,5) O c. (5,6) O D. (8,3)
1 answer:
You might be interested in
Answer:
and
Step-by-step explanation:
To find the max points we need to take the derivative of the function and then find the critical values.
First we take the derivative:
Now we need to find when f'(x)=0 to find the critical values.
The critical values will be
for any integer n
between 0 and 2 pi, the critical values will be
We can determine if these are minimums or maximums by using the second derivative test.
So we need to take the second derivative;
We need to see if the second derivative is positive or negative to determine if it is a max or min.
Since the second derivative is negative at
and
we know both of those are the x-values of maximums.