FireKat97
  • FireKat97
Him what would the derivative graph of this look like? ...
Mathematics
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FireKat97
  • FireKat97
Him what would the derivative graph of this look like? ...
Mathematics
chestercat
  • chestercat
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FireKat97
  • FireKat97
FireKat97
  • FireKat97
Hi* whoops
beginnersmind
  • beginnersmind
Split it up into intervals where the function can be represented with a single formula. e.g for x in [0,1[, f(x) = 3 for x in [1,5[ , f(x) = (3/2)*(x-1) + 3 and so on. You can calculate the derivatives for these pieces easily. Remember that at points like 1,5 or 7 the derivative doesn't exist.

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beginnersmind
  • beginnersmind
correction: for x in [1,5[ , f(x) = -(3/2)*(x-1) + 3
FireKat97
  • FireKat97
ohh okay thanks! And I'm guessing we do a similar thing if we're working backward? So, finding the integral graph instead?
beginnersmind
  • beginnersmind
I think I would just use the area definition of the integral, especially for a simple function like this. BTW, we could have solved this by remembering that the derivative of a linear function is its slope and just 'reading off' the value from the graph.
FireKat97
  • FireKat97
Okay I think I get it, thanks :)
beginnersmind
  • beginnersmind
No problem :)

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