Yolanda Jorge
2021-12-04
Twereen
Beginner2021-12-05Added 13 answers
Step 1
As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.
We then need to evaluate the integral at all the critical points and the boundary points.
The value of x at which f(x) is maximum will be the global or absolute maxima and the value of x at which f(x) is minimum will be the global or absolute minima
Step 2
Hence,
For critical points, f'(x) = 0
Hence,
Or, (1-3x)=0 as
Hence, x = 1/3
Interval boundaries are -1, and 2
Step 3
Hence,
Step 4
Final answers:
Absolute extrema
Absolute minima at x = -1 and the absolute minimum value is
Absolute maxima at x = 1/3 and the absolute maximum value is 1/(3e)
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