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Find the local minimum value of the function f(x) sin x + cosxx=sin4 x + cos4x,0<x<π2 -

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Question

Find the local minimum value of the function f(x) `= "sin"^4" x + cos"^4 "x", 0 < "x" < pi/2`

Options

  • `1/sqrt2`

  • `1/2`

  • `sqrt3/2`

  • 0

MCQ

Solution

`1/2`

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