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xEnOnn

  • 3 years ago

When we say \[\frac{\mathrm{d} y}{\mathrm{d} x}\], it also be written as \[\Delta x\] or \[\Delta y\]?

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  1. satellite73
    • 3 years ago
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    not the same thing

  2. jp32894
    • 3 years ago
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    no thats different dy/dx is a derivatice delta y and delta x are changes

  3. xEnOnn
    • 3 years ago
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    Isn't the derivative the change? Like for dy/dx, it is the change in the y-axis for each x value? When what are delta x and delta y?

  4. satellite73
    • 3 years ago
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    the derivative can be written (in fact historically was almost always written) as \[\lim_{\Delta x \rightarrow 0}\frac{\Delta y}{\Delta x}\]

  5. amistre64
    • 3 years ago
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    put your hands 14 inches apart; \(\Delta\)x = 14 inches; as you bring your hands together that \(\Delta\)x gets smaller and smaller. The moment your hands touch and the distance is gone; you have reached dx

  6. amistre64
    • 3 years ago
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    the ghost of a departed value

  7. satellite73
    • 3 years ago
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    but notice it is a limit that gives you \[\frac{dy}{dx}\]as you take the limit, the greek letter becomes an english letter

  8. amistre64
    • 3 years ago
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    god save the queen!!

  9. satellite73
    • 3 years ago
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    sort of like \[\sum\] and \[\int\]

  10. satellite73
    • 3 years ago
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    who you calling a queen?

  11. amistre64
    • 3 years ago
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    ♫♫...we are the champions .... ♫♫

  12. satellite73
    • 3 years ago
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    oh of course.

  13. amistre64
    • 3 years ago
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    what is the area of a circumference?

  14. xEnOnn
    • 3 years ago
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    So the delta x is the change in the x value, while the dy/dx is the rate of change, the gradient. Since the gradient is the rate of change, I remember the gradient is a function that tells the increase in the y-axis for every increment of x value on the x-axis, is this right? Then this gradient tells a change in the y-axis for each increment of x value, is delta y or delta x?

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