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- TL;DR Summary
- Derivative of F = f(x)/f(x+dx)

Hello,

I'm struggling with this for some time.

So I have the function: f(x) = sqrt(1 - 1/x)

The derivative of this function can be easily calculated.

Now we define the function:

F(x) = f(x)/f(x + dx) = sqrt(1 - 1/x)/sqrt(1 - 1/(x+dx))

I have a hard time to find F'(x) due to the presence of dx in the equation. (Lack of math knowledge)

I would really appreciate if someone can help me with this; some hints on how to proceed.

Thank you in advance.

I'm struggling with this for some time.

So I have the function: f(x) = sqrt(1 - 1/x)

The derivative of this function can be easily calculated.

Now we define the function:

F(x) = f(x)/f(x + dx) = sqrt(1 - 1/x)/sqrt(1 - 1/(x+dx))

I have a hard time to find F'(x) due to the presence of dx in the equation. (Lack of math knowledge)

I would really appreciate if someone can help me with this; some hints on how to proceed.

Thank you in advance.