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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: What is the derivative of [x]?
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compy_genius (0)

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What is the derivative of [x]?

    
nunoxic (1469)

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[x]

consider LHL n RHL
if x = 2 (for eg)
LHL be 1.99
[x] = 1
RHL = 2.01
[x] = 2

thus function is discontinous
hence the function is not differentiable

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oneyeartogo (217)

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[x] is non differentiable only at Integer points. At all other points it's derivative is zero.


Its graph is like steps:


 


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little_genius (295)

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oneyrtogo is right

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mukundmadhav (465)

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Derivative is basically slope
So it's 0 for non integral values and not defined for integral values
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