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in Mathematics by (34.3k points)

Let h(x) = min{x, x2} for every real number of x, then

(a) h is continuous for all x

(b) h is differentiable for all x

(c) h'(x) = 1, for all x > 1

(d) h is not differentiable at two values of x.

1 Answer

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by (24.0k points)
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Best answer

Correct option 

(a) h is continuous for all x

(c) h'(x) = 1, for all x > 1

(d) h is not differentiable at two values of x.

Explanation :

From the figure,

h(x) is continuous all x, but h(x) is not differentiable at two points x = 0 and x = L (due to sharp edges). Also

Hence, (a), (c) and (d) is correct answers.

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