Can you solve the strange derivative of this complex function?

In summary, a strange derivative is a mathematical concept that involves calculating a function's derivative based on a different variable than the one used in the original function. It can be useful in solving complex problems, gaining insights into a function's behavior, and has applications in physics, economics, and engineering. However, it can be challenging to calculate and may not always provide meaningful results, and is not commonly used in everyday applications.
  • #1
thennigar
6
1
here we go.
originally in root forum, like root under a root under a root etc... just don't know where to start with this one.

f(x) = (x+(x+(x+(x+1)^.5)^.5)^.5)^.5)
 
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  • #2
You know the chain rule, right?...Now is the time to have lots of fun with it!
 
  • #3
chain rule

Just keep applying the chain rule... over and over and over. Keep peeling back each layer until you reach the end:
f(x) = (x + g(x))^.5
f'(x) = .5(x + g(x))^(-.5) (1 + g'(x))
... etc...
 
  • #4
That sucks. LOL.
 

What is a "strange derivative"?

A strange derivative is a mathematical concept in which a function's derivative is calculated based on a different variable than the one used in the original function. This can result in unusual or unexpected outcomes.

What is the purpose of using a strange derivative?

The use of a strange derivative can be helpful in solving complex mathematical problems that involve multiple variables. It can also provide insights into the behavior of a function and help identify patterns.

How is a strange derivative calculated?

A strange derivative is calculated using the chain rule, which involves taking the derivative of the original function and then multiplying it by the derivative of the variable used in the original function. This can be represented mathematically as dF(x)/dx = dF(u)/du * du/dx.

What are some real-life applications of strange derivatives?

Strange derivatives have applications in physics, particularly in quantum mechanics, where they are used to describe the behavior of particles in non-classical systems. They can also be used in economics to model complex systems and in engineering to optimize processes.

Are there any limitations to using strange derivatives?

While useful in certain situations, strange derivatives can be challenging to calculate and may not always provide meaningful results. They are also not commonly used in everyday applications and are more commonly seen in advanced mathematics and physics.

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