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Partial derivative of function w.r.t. the percent change of the variable
I am now confused. The quantity that I want to get is that how much f(x,y) changes if you increase x by 1%. If you say, "how much f(x,y) changes if you increase x by 1 unit", then it should be ∂f(x,y)/∂x. So, what I want is: Δf(x,y)/%Δx. Can you write this as, ∂f(x,y)/∂log(x)? Then, the...- Usuiisu
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- Forum: Calculus and Beyond Homework Help
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Partial derivative of function w.r.t. the percent change of the variable
I made a mistake in the relevant questions for one of the equations: %Δf(x,y)/%Δx = ∂logf(x,y)/∂log(x)= ∂f(x,y)/∂x*x/f(x,y) should be corrent.- Usuiisu
- Post #2
- Forum: Calculus and Beyond Homework Help
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Partial derivative of function w.r.t. the percent change of the variable
Homework Statement Rewrite this in terms of f, f, ∂f/∂x, and x: ∂f(x,y)/∂(%Δx) = ∂f(x,y)/∂(d log(x) ) Homework Equations ∂(%Δf(x,y))/∂(%Δx) = ∂logf(x,y)/∂log(x)= ∂f(x,y)/∂x*x/f(x,y). ∂f(x,y)/∂log(x)=x∂f(x,y)/∂x The Attempt at a Solution I found that (%Δx) can be written as...- Usuiisu
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- Change Derivative Function Partial Partial derivative Percent Variable
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- Forum: Calculus and Beyond Homework Help