The Set Of All Points Where The Function f (x) = x |x| Is Differentiable Is

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Question

The set of all points where the function f (x) = x |x| is differentiable is

(0, ∞)
[1, ∞)

easy

Solution

Correct option is

(0, ∞)

Since x² and –x² are differentiable functions, f (x) is differentiable, except possibly at x = 0.

[âˆµ f (0) = 0]

Hence f is differentiable everywhere.

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SIMILAR QUESTIONS

Q1

If f (2) = 4 and f’(2) = 1, then

easy View solution

Q2

The set of all points where the function is differentiable is

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Q3

For n Ïµ N, let The left hand derivative of f at x = π/4 is

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Q4

If f(a) = 2, f’(a) = 1, g(a) = –1 and g’(a) = 2, the value of

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Q5

If is differentiable at x = 0, then

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Q6

If f’ is differentiable function and f’’(x) is continuous at x = 0 and f’’(0) =a, the value of

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Q7

Let [.] denote the greatest integer function and . Then

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Q8

Let f (x + y) = f (x) f (y) for all x and y. If f (5) = 2 and f’(0) = 3, then f’(5) is equal to

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Q9

Let f (x) = [x] and

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