Friday, July 31, 2009

The cost function is C(w,r,q)= 2Q√rw, what is the gradient and how is it solved?

I think you are supposed to solve for (w,r,q)

The cost function is C(w,r,q)= 2Q√rw, what is the gradient and how is it solved?
the gradient is an operator defined as:





grad(C) = %26lt;∂C/∂w , ∂C/∂r , ∂C/∂q%26gt;


The gradient turns a scalar into a vector, it is usually written as an upsidedown delta called the del operator or the nabla operator but I don't have that symbol. in the case of your function you would need to complete three partial derivatives:


∂C


---- = -q/(w*√[wr])


∂w





∂C


---- = -q/(r*√[wr])


∂r





∂C


---- = -1/√[wr]


∂q

snow of june

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