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Rhenane
11 months ago

This is because f”(800)=0 is not true!

The point (2000|50), i.e. f'(2000)=50 as you have already noted correctly, is clearly visible here. And with this equation you can determine the b already!

b=92/4000=-23/1000=-0,023

With the equation f”'(800)=0, you come to b=-117/5000=0,0234, so not -0,023, so when solving the equation system, the empty amount comes out.

The low point of f’ (i.e. f”'(x)=0) is calculated at x=786,32 and not at x=800.

Rhenane
11 months ago
Reply to  GurkenCombo

Right, 4000b+142=50 you can change directly, so you don’t need any further equations.

You need just as many features/equalities as you have unknowns to determine a unique solution. If you have more “safe” information (not as here, where it can be quite inaccurate, as you see), then you only take as much of it as you need.

And using values that make the unknown(s) disappear completely, don’t help anymore, as with you at f'(0)=25! With the result 25=25 you only show that the statement f'(0)=25 is correct. :