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WXB13
  • Member for 10 years, 11 months
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Second derivative implicit differentiation using Wolfram Alpha input?
@MichaelE2, the answer to your question is in my original post.
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Finding exponential model from data
Interesting; I was wondering where their formula came from and it never dawned on me to search for the formula for capacitor discharge (D'oh!). Does the negative sign reflect the fact that it's a discharge?
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Finding exponential model from data
Sorry but I did search before asking this question as I always do. I tried a couple of different searches but I'm guessing that I didn't use the right combination of terms. I also try very hard to figure things out on my own and typically only resort to asking questions when I've hit a dead end. I know that there are probably a lot of people who try to get other people to do their homework but that is definitely not me.
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Finding exponential model from data
Why "-k"?: model = a Exp[-k t];
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Finding exponential model from data
How close is my understanding of this? Why is the Log easier to fit? I'm still working on the Library of Babel problem. More updates to come...
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Finding exponential model from data
I'm a little bit more fuzzy about the why/how of using Log and Exp in your answer. I'll try to explain my understanding (and lack thereof) and hopefully you'll be able to set me straight. Please forgive me if my questions are rather basic. I'm guessing that the transformation of (a*b)^t to la + t lb is done via applying Log to everything and the purpose of doing this is to get t out the exponent; in the last step Exp is applied to the results in order to reverse the Log applied in the previous step.
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Finding exponential model from data
I'm a relative newcomer to Mathematica and the class is a first year calc class so I'm having to figure out (i.e. "try" to figure out) some of the syntax and math concepts on the fly. By referencing the help system and executing bits and pieces of your code I've been able to figure out the ReplaceAll ("/.") and RuleDelayed (":>") operators that you're using.
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Second derivative implicit differentiation using Wolfram Alpha input?
Yes, I see that and I do appreciate your help. Unfortunately, this is still not what I'm looking for. The Wolfram Alpha step-by-step solutions are more granular and come with text explaining each step.
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Second derivative implicit differentiation using Wolfram Alpha input?
Thanks but Wolfram Alpha doesn't recognize that and entering it as Mathematica input doesn't give me the step-by-step solution that I'm seeking.