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pottersheep Group Title

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

  • one year ago
  • one year ago

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  1. pottersheep Group Title
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    • one year ago
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    We only learned power rule

    • one year ago
  3. abb0t Group Title
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    rate of change is: \[\frac{ \Delta b }{ \Delta t } = \frac{ db }{ dt }\] where b = change in number of bacteria

    • one year ago
  4. pottersheep Group Title
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    oh we didnt learn that dbthing yet

    • one year ago
  5. pottersheep Group Title
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    wait thats ust slope?

    • one year ago
  6. pottersheep Group Title
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    *jsut

    • one year ago
  7. abb0t Group Title
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    \[\frac{ db }{ dt }\] 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: \[\frac{ \Delta y }{ \Delta x } = \frac{ y_2 - y_1 }{ x_2 - x_1 } = m = slope\]

    • one year ago
  8. abb0t Group Title
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    I 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.

    • one year ago
  9. pottersheep Group Title
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    Ohh ok thank you

    • one year ago
  10. pottersheep Group Title
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    Thanks for your help!

    • one year ago
  11. abb0t Group Title
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    No problem. Good luck.

    • one year ago
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