Application of Derivatives 4 Question 3
3. If is the minimum value of for which the function is increasing in the interval [0,3] and is the maximum value of in the interval when , then the ordered pair is equal to
(2019 Main, 12 April I)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 3. (b)
Solution:
- Given function
the function
because it is given that
Now, on differentiating the function
as
So,
and the maximum value of
Therefore, ordered pair