What is the absolute maximum value of on the closed interval ?
Answer and explanation
Correct answer: C.
- Step 1: Find critical points by setting the derivative to zero: and .
- Step 2: Evaluate at the critical points and the endpoints and : , , , and .
- Step 3: Compare the values to identify the absolute maximum: the largest value is , attained at the endpoint .
Answer
.
Why not the others: Other values correspond to local extrema within the interior of the interval rather than evaluating the absolute maximum across critical points and endpoints.
Practise more Differentiation.
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