Number of points where the function fx - max-2x-x2- 2-x is non-differentiable- is-are

F(x) is a continuous function but has a sharp turn at x nbsp;=1 and also not differentiable because of an undefined derivative at x nbsp;=2. nbsp; Therefo ...

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Standard XI

Mathematics

Differentiability in an Interval

Number of poi...

Question

Number of point(s) where the function $f (x) = max (\sqrt{2 x - x^{2}}, 2 - x)$ is non-differentiable, is/are

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Solution

The correct option is C 2
$f (x)$ is a continuous function but has a sharp turn at $x = 1$ and also not differentiable because of an undefined derivative at $x = 2$ .
Therefore $f (x)$ is not differentiable at $x = 1, 2$ .

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Number of point(s) where the function f(x)=max(√2x−x2, 2−x) is non-differentiable, is/are

The correct option is C 2f(x) is a continuous function but has a sharp turn at x=1 and also not differentiable because of an undefined derivative at x=2. Therefore f(x) is not differentiable at x=1,2.

Number of point(s) where the function $f (x) = max (\sqrt{2 x - x^{2}}, 2 - x)$ is non-differentiable, is/are

The correct option is C 2
$f (x)$ is a continuous function but has a sharp turn at $x = 1$ and also not differentiable because of an undefined derivative at $x = 2$ .
Therefore $f (x)$ is not differentiable at $x = 1, 2$ .