#implicit differentiation and related rates

25 messages · Page 1 of 1 (latest)

idle field
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From the photo, he defined the derivative of radius with respect to time as 3, but is that allowed? because the difference in time in the example is 1, and not approaching 0.

image.png
deep thornBOT
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idle field
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ok yeah im not really sure what the hell this guys doing

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he used the chain rule

sullen garden
idle field
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difference in radius with respect to time?

sullen garden
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Or, if you prefer, it's the slope of the line tangent to the curve r = f(t) at time t.

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And what curve is r = f(t)?

idle field
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is it linear

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how do u know that its linear

idle field
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ok so im guessing that you're allowed to do this because its assumed its a constant rate of change of radius and it doesnt matter how big dx is if its linear?

sullen garden
sullen garden
idle field
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oh wonderful

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i just did another question it said constant rate of 1.5m/s so iassumed they needed to put that but yeah i guess that does tell you

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thank u for the help

sullen garden
idle field
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nevermind solved it

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+close

hazy novaBOT
# idle field +close
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# hazy nova

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