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" A function f is called homogeneous of degree n if it satisfies the equation

f(tx,ty,tz)=t^n*f(x,y,z) for all t, where n is a positive integer and f has continuous second order partial derivatives".

I dont have equation editor so let curly d=D

I need help to show that

x(Df/Dx)+y(Df/Dy)+z(Df/Dz) = nf(x,y,z)

The hint that is given is to use the chain rule to differentiate f(tx,ty,tz) with respect to t.

I am at a total loss, can somebody offer help as to how i show this.

Thanks

Callisto

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# Homogeneous of degree n

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