Maxima and MinimaHard

Question

The least value of ′a′ for which the equation = a has atleast one solution on the interval (0, π/2) is -

Options

A.3
B.5
C.7
D.9

Solution

      
f(x) = x∈
f′(x) =  cos x
 = cos x
  
= 6 + 3 = 9
f(0+) → ∞
f → ∞
⇒    a = 9
 

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