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How can we "trust" numbers?


CuriosOne

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14 minutes ago, Sensei said:

Like we can read on Wikipedia coefficient can be any mathematical expression. Both variable and number.

https://en.m.wikipedia.org/wiki/Coefficient

Some resources dont "tell you" that the power rule "is used in "differentiation" where the coefficient acts as just a plain ole number, infact the power rule works for both negative and positive and even fractions..

x^2 = 2x^1

x^2/3 = [2/3]*x^-1/3

x = x'= 1

If a function "any function" starts with a coefficient a coefficient has "NO EFFECT" on the process of differentiation..

That's another reason why I asked, What is the point of calculus????

Were given this information by ""scientst""

Edited by CuriosOne
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21 minutes ago, CuriosOne said:

x^2 = 2x^1

x^2/3 = [2/3]*x^-1/3

x = x'= 1

None of those three statements are accurate or true; maybe if you had arrows instead of equal signs, as he equal sign has an exactly defined meaning.
They are only accurate/true if you put  d/dx  in front of the left side.

 

29 minutes ago, CuriosOne said:

If a function "any function" starts with a coefficient a coefficient has "NO EFFECT" on the process of differentiation..
That's another reason why I asked, What is the point of calculus????

The derivative is taken ( in this case ) only with respect to the variable x , because y=f(x).
If the coefficient, c, was another variable of the function, say y=f(x,c), then partial derivatives would be involved
 

Also, why do you have a problem with the coefficient being a natural number?

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We expect arguments to be made in good faith. Honest discussions, backed up by evidence when necessary. Example of tactics that are not in good faith include misrepresentation, arguments based on distraction, attempts to omit or ignore information, advancing an ideology or agenda at the expense of the science being discussed, general appeals to science being flawed or dogmatic, conspiracies, and trolling.

A scattershot thread Asking how we can trust numbers does not qualify

 
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