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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 $$\ln {2} - \frac {1}{2}$$ . · 7 months, 2 weeks ago

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? · 7 months, 3 weeks ago