Show equation of tangent
11-14-2019, 04:01 PM (This post was last modified: 11-14-2019 04:03 PM by pinkman.)
Post: #10 pinkman Senior Member Posts: 420 Joined: Mar 2018
RE: Show equation of tangent
(11-14-2019 01:55 PM)CyberAngel Wrote:  Could you kindly establish the exact 3rd degree polynomial
that you used in the picture or any other
that I can truly test.
Note that a derivative of a 3rd degree polynomial is a 2nd degree polynomial
a straight like is a 1st degree polynomial - one needs f''(x) in terms of derivation

In the picture I used : F1(X)=X^3+0.5*X^2-2*X-4
I randomly showed the tangent for X=1.07 (right part of the split view).
The SLOPE for x=1.07 is 2.5047 (shown in lower part of display, and also true when calculated from the derivative 3*X^2+X-2 with X=1.07), but to draw the tangent, in the symbolic view you just have to write for F2 : SLOPE(F1,1.07)*(X-1.07)+F1(1.07)

I don't understand your reflexion about the derivative, as a tangent is always a straight line, whatever the function is.
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 Messages In This Thread Show equation of tangent - swisscow - 11-13-2019, 05:01 AM RE: Show equation of tangent - nbenm - 11-13-2019, 12:23 PM RE: Show equation of tangent - toml_12953 - 11-13-2019, 12:45 PM RE: Show equation of tangent - pinkman - 11-13-2019, 03:04 PM RE: Show equation of tangent - CyberAngel - 11-14-2019, 10:08 AM RE: Show equation of tangent - pinkman - 11-14-2019, 01:26 PM RE: Show equation of tangent - CyberAngel - 11-14-2019, 01:55 PM RE: Show equation of tangent - pinkman - 11-14-2019 04:01 PM RE: Show equation of tangent - swisscow - 11-13-2019, 04:31 PM RE: Show equation of tangent - pinkman - 11-13-2019, 11:28 PM RE: Show equation of tangent - Wes Loewer - 11-15-2019, 04:27 AM RE: Show equation of tangent - pinkman - 11-16-2019, 01:51 PM RE: Show equation of tangent - vjc - 11-12-2021, 06:23 PM

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