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## Homework Statement

Hey, i ve got problem with a few partial derivative problems.

1.I have a function T(x,t)

Prove that dT/dt=∂T/∂t +∂T/∂x dx/dt

2.Let u(x,y) and y(x,u) be continous, differentiable functions.

Prove that

∂u/∂z=∂u/∂z ∂y/∂z

3

Let r(q1,q2,...qn) be a function of place depending on n coordinates.

Show that ∂r/∂q=derivative of r/derivative of q

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## Homework Equations

## The Attempt at a Solution

Well, the first one i tried to prove chain rule for partial derivatives but i failed. I also cannot find one in the Web.

Second comes from Leibniz notation for derivatives - but again I cant prove it myself or find a prove.

Third- well i dont have a clue.