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User3442
9 months ago

The minimum of the function K is requested.

A minimum is an extreme. These are found in which the zero points of the derivation are determined.

that is exactly the case when the counter is equal to 0.

The only logical solution x2 remains.

As a sufficient condition, the second derivation at the site is still valid to determine.

Halbrecht
9 months ago
Reply to  User3442

100 times w(3) as about 373 does not correspond to the true value of 173

chatgpt?

314156926
9 months ago
Reply to  Halbrecht

100 times w(3) as ca 373

Then there would be root(3) = 3.73

Halbrecht
9 months ago
Reply to  User3442

I’m sorry.

100 * w(3) is correct

but the principle of your derivation is a mystery to me

User3442
9 months ago
Reply to  Halbrecht

It is also possible that the quotient rule is also taught in addition to the chain rule. I know that is not the case everywhere, which is why I carried out the derivation via the chain rule. In the first step, I rewritten the equation. This can be done because by sharing x is nothing else than multiplying with x^-1. Thereafter, it is derived according to the chain rule and (x+100)/x is expanded with x to reach a common denominator of both fractures and then simply further combined.

Here, as already mentioned in another answer, it would also have been possible first to perform the division by x and then to derive it.

Halbrecht
9 months ago

well recognized. I need to correct

Halbrecht
9 months ago

Thanks for your way

Here the errors

x2 generated

0 = 1x*x2 + 100*x2 – 15000!!! Each part of the right side needs the factor

.

Tip: The min is somewhere under 200

Halbrecht
9 months ago
Reply to  Lu123435

bill itself must be correct, because 173 ( see here that is the derivation with zero point ) is

DerRoll
9 months ago

Where exactly is the problem to derive the function once and to search for the zero points of the derivation? So many can’t be…

Halbrecht
9 months ago
Reply to  Lu123435

old trick? Show that it is not that way and quickly write your solutions

DerRoll
9 months ago
Reply to  Lu123435

Then write your solution in a clean copy with here.

Halbrecht
9 months ago

I have corrected

Tannibi
9 months ago

calculate derivation and set = zero, then calculate x.
I would shorten by x for the first two summands
and rear is the derivation of 1/x standard: -1/x2.