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pottersheep
 3 years ago
Intro to rates of change...How do I do this FIRST question? lol :( (see attatched)
pottersheep
 3 years ago
Intro to rates of change...How do I do this FIRST question? lol :( (see attatched)

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pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0We only learned power rule

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.1rate of change is: \[\frac{ \Delta b }{ \Delta t } = \frac{ db }{ dt }\] where b = change in number of bacteria

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0oh we didnt learn that dbthing yet

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0wait thats ust slope?

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ db }{ dt }\] is the derivative, which can be thought of as how much one quantity is changing in response to changes in some other quantity. in this case, it is the change in bacteria amount over time. \[\frac{ \Delta b }{ \Delta t }\] is the same thing, just different notation. \[\Delta = change\] the triangle greek symbol means change. The derivative also represents the slope as you mentioned. It is the tangent line to a particular function, which takes the form: \[\frac{ \Delta y }{ \Delta x } = \frac{ y_2  y_1 }{ x_2  x_1 } = m = slope\]

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.1I thought this was for a calculus course which is why I mentioned derivatives, but you can ignore the db/dt stuff. You mentioned power rule and I thought of something else. My bad. I didn't mean to confuse you.

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks for your help!
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