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 Post subject: Double derivative test
PostPosted: Mon, 14 May 2012 19:10:43 UTC 
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Good evening Sir
when we double differentiate some curve then logically it mean that we are calculating the rate of change of tangents .for examples y=-x^2.when we double differentiate the curve we get the rate of change of slope negative.now according to calculus,negative rate means that something is decreasing .here rate of change of tangents is decresaing now Sir i am confused that what is really decreasing means here.?
hope sir you have understand my question as i am too confused in even asking .Show me the way by giving some practical life example.
regards and thanks

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PostPosted: Mon, 14 May 2012 22:05:05 UTC 
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mun wrote:
Good evening Sir
when we double differentiate some curve then logically it mean that we are calculating the rate of change of tangents .for examples y=-x^2.when we double differentiate the curve we get the rate of change of slope negative.now according to calculus,negative rate means that something is decreasing .here rate of change of tangents is decresaing now Sir i am confused that what is really decreasing means here.?
hope sir you have understand my question as i am too confused in even asking .Show me the way by giving some practical life example.
regards and thanks

If you look at the tangent for different x's you will see that they are (for x > 0) pointing more and vertically downward as x increases. For x < 0, as x increases they tend to go from vertical upward to horizontal.

Don't try to read too much into it.


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PostPosted: Mon, 14 May 2012 23:18:57 UTC 
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mun wrote:
Good evening Sir
when we double differentiate some curve then logically it mean that we are calculating the rate of change of tangents .for examples y=-x^2.when we double differentiate the curve we get the rate of change of slope negative.now according to calculus,negative rate means that something is decreasing .here rate of change of tangents is decresaing now Sir i am confused that what is really decreasing means here.?
hope sir you have understand my question as i am too confused in even asking .Show me the way by giving some practical life example.
regards and thanks


I don't see the reason to be confused, you're merely measuring the rate of change of a different object.

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