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The least value of m for which function f(t) = t2 + mt + 1 is a increasing function in the interval 1 ≤ t ≤ 2
  • a)
    1
  • b)
    2
  • c)
    -2
  • d)
    -1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The least value of m for which function f(t) = t2+ mt + 1 is aincreasi...
If f(t) is increasing
f'(t) ≥ 0
= 2t + m ≥ 0
= t ≥ - (m/2)
Since 1 ≤ t ≤ 2
-(m/2) ≤ 1
m ≥ -2
Hence least value of m is -2.
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The least value of m for which function f(t) = t2+ mt + 1 is aincreasing function in the interval 1≤ t≤ 2a)1b)2c)-2d)-1Correct answer is option 'C'. Can you explain this answer?
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