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

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jp32894Best ResponseYou've already chosen the best response.0
no thats different dy/dx is a derivatice delta y and delta x are changes
 2 years ago

xEnOnnBest ResponseYou've already chosen the best response.0
Isn't the derivative the change? Like for dy/dx, it is the change in the yaxis for each x value? When what are delta x and delta y?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
the derivative can be written (in fact historically was almost always written) as \[\lim_{\Delta x \rightarrow 0}\frac{\Delta y}{\Delta x}\]
 2 years ago

amistre64Best ResponseYou've already chosen the best response.0
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
 2 years ago

amistre64Best ResponseYou've already chosen the best response.0
the ghost of a departed value
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
but notice it is a limit that gives you \[\frac{dy}{dx}\]as you take the limit, the greek letter becomes an english letter
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
sort of like \[\sum\] and \[\int\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
who you calling a queen?
 2 years ago

amistre64Best ResponseYou've already chosen the best response.0
♫♫...we are the champions .... ♫♫
 2 years ago

amistre64Best ResponseYou've already chosen the best response.0
what is the area of a circumference?
 2 years ago

xEnOnnBest ResponseYou've already chosen the best response.0
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 yaxis for every increment of x value on the xaxis, is this right? Then this gradient tells a change in the yaxis for each increment of x value, is delta y or delta x?
 2 years ago
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