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Rate of change of differentiation


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Note by L Km
7 months, 3 weeks ago

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I mean, how do the values of derivatives vary with values of \( n \) , that is from the \( \frac { { d }^{ n }y }{ d{ x }^{ n } } \) . For instances, at \( x=2 \) , \( \ln { x } = \ln {2} \). While the first derivative of the function is \( \frac {1}{x} = 1/2 \) , the change of values is \( \ln {2} - \frac {1}{2} \) . L Km · 7 months, 2 weeks ago

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Would you be referring to rate of change of the first derivative? That would be the second derivative.

For example: Distance Travelled - Function of time Velocity = First Derivative Acceleration = Second Derivative Jerk = Third Derivative

Or are you referring to something else? Star Light · 7 months, 3 weeks ago

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