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Let h(x) = Min. (x, x^(2)), for every r...

Let h(x) = Min. `(x, x^(2))`, for every real number x, then

A

h is discountious for all x

B

h is differentiable for all x

C

h(x) = 2, for all `x lt 1`

D

h is not differentiable at two value of x

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The correct Answer is:
4
`h(x) = "min" .(x,x^(2))`
`x if xle 0`
`x^(2) if 0 le x le 1`
`h(x) = 1, x gt1`
`therefore` h is diff. at all x except two pts.
`x=0, x=1 `
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