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**u = u(T,v)**how to use the chain rule to write how

**u**changes with respect to

**T & v**.

Please specify the steps involved.

i understand chain rule as [itex]\frac{du}{dx}[/itex] = [itex]\frac{du}{dy}[/itex] [itex]\frac{dy}{dx}[/itex]

- Thread starter sphyics
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Please specify the steps involved.

i understand chain rule as [itex]\frac{du}{dx}[/itex] = [itex]\frac{du}{dy}[/itex] [itex]\frac{dy}{dx}[/itex]

Science Advisor

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du/dx = (∂u/∂T)(dT/dx) + (∂u/∂v)(dv/dx)

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very much thanks for ur quick response :)

du/dx = (∂u/∂T)(dT/dx) + (∂u/∂v)(dv/dx)

how does the symbol

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For example if I have

[tex] F = x^2 + 2xy + \frac{x}{y} [/tex]

Then

[tex] \frac{\partial F}{\partial x} = 2x + 2y + \frac{1}{y} [/tex]

Can you find [itex] \frac{\partial F}{\partial y} [/itex]? :)

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= 2x - x/y[itex]

Can you find [itex] \frac{\partial F}{\partial y} [/itex]? :)

i think thats the right answer :)

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I think so too :)

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Appreciate ur help :)

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