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Q. Let f(x)=cos x $ H(x)=[min [f(t) 0&l...

Q. Let `f(x)=cos x` $ `H(x)=[min [f(t) 0<=t<=x` for `0<=x<=pi/2` , `pi/2-x` for `pi/2 ltx <="3`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A, D
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