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The maximum value of  is

(A) (B)

(C) 1 (D) 0

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Let Then, we evaluate the value of f at critical pointand at the end points of the interval {i.e., at x = 0 and x = 1}. Hence, we can conclude that the maximum value of f in the interval is 1. The correct answer is C.
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Let

Then, we evaluate the value of f at critical pointand at the end points of the interval [0, 1] {i.e., at x = 0 and x = 1}.

Hence, we can conclude that the maximum value of f in the interval [0, 1] is 1.

The correct answer is C.

 

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B.Tech with 5 years of experience in Coaching. Specialised in Mathematics and Science subject.

(C) 1
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Related Questions

For all real values of x, the minimum value of  is

(A) 0 (B) 1

(C) 3 (D)

Let ∴By second derivative test, f is the minimum at x = 1 and the minimum value is given by . The correct answer is D.
Chiranjeevi
0 0
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