Show equation of tangent

11142019, 01:26 PM
Post: #8




RE: Show equation of tangent
(11142019 10:08 AM)CyberAngel Wrote:(11132019 03:04 PM)pinkman Wrote: I think there is no way to get the formula of the tangent from the graphic view, but you can use the tangent formula in the symbolic view.Doesn't work correctly for me. Here are the steps : Consider (x)>f(x) defined in x1, and assume you're looking for the tangent in x1. The tangent is a straight line, defined by a slope and a point. Assume its formula is (x)>t(x) (a) In x1, this slope is f'(x1) => t(x) = f'(x1) * x + b (b) In x1, this point is (x1, f(x1)) => t(x1) = f(x1) Combine (a) & (b): f(x1) = f'(x1) * x1 + b Isolate b: b = f(x1)  f'(x1) * x1 Insert b in t(x): t(x) = f'(x1) * x + f(x1)  f'(x1) * x1 Rewrite t(x): t(x) = f'(x1) * (x  x1) + f(x1) In my example, f was F1 and x1 was 3. In the HP Prime, f'(x1) is SLOPE(F1,x1) => SLOPE(F1,3)*(X3)+F1(3) 

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Messages In This Thread 
Show equation of tangent  swisscow  11132019, 05:01 AM
RE: Show equation of tangent  nbenm  11132019, 12:23 PM
RE: Show equation of tangent  toml_12953  11132019, 12:45 PM
RE: Show equation of tangent  pinkman  11132019, 03:04 PM
RE: Show equation of tangent  CyberAngel  11142019, 10:08 AM
RE: Show equation of tangent  pinkman  11142019 01:26 PM
RE: Show equation of tangent  CyberAngel  11142019, 01:55 PM
RE: Show equation of tangent  pinkman  11142019, 04:01 PM
RE: Show equation of tangent  swisscow  11132019, 04:31 PM
RE: Show equation of tangent  pinkman  11132019, 11:28 PM
RE: Show equation of tangent  Wes Loewer  11152019, 04:27 AM
RE: Show equation of tangent  pinkman  11162019, 01:51 PM
RE: Show equation of tangent  vjc  11122021, 06:23 PM

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