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Vahid6105 Posted 6 years ago
Grammar

Change of the slope of a curve

Hi everyone,

I want to use a word instead of "where the slope of the curve changes" in a scientific text. Could you please help me? Thanks a lot. Here is my sentence:

The ???? points in the plot indicate changes in the flow properties of the porous medium.

  

Top answer

The slope of a curve is determined by taking the first derivative of the function. The rate of change of the slope is the second derivative. In motion, the position is plotted as a function of time.

  • The slope of a curve is determined by taking the first derivative of the function.
  • The rate of change of the slope is the second derivative.
  • In motion, the position is plotted as a function of time.
  • g.
  • from positive to negative.
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2 Answers
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The slope of a curve is determined by taking the first derivative of the function. The rate of change of the slope is the second derivative.

In motion, the position is plotted as a function of time. The first derivative is called velocity or speed (rate of change per unit of time), and the second, acceleration (rate of change of velocity.)

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Vahid6105"where the slope of the curve changes"

On continuous curve, the slope can be changing continuously - over the entire domain. There are special points where it reverses direction: inflection points.

Are you trying to describe discontinuities where the second derivative is undefined?

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