f(x) = cos x and H(x) = {{:(min{f(t), 0 ...

`f(x) = cos x` and `H(x) = {{:(min{f(t), 0 le t lt x},0 le x le (pi)/(2)) ,( (pi)/(2)-x,(pi)/(2) lt x le 3):}` then

H(x) is continuous and derivable in [0, 3]

H(x) is continuous but not derivable at `x = (pi)/(2)`

H(x) is neither continuous nor derivable at `x = (pi)/(2)`

maximum value of H(x) in [0, 3] is 1

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A, D

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