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## Homework Statement

Find the gradient vector of:

[tex]g(r, \theta) = e^{-r} sin \theta[/tex]

## Homework Equations

## The Attempt at a Solution

I know how to get gradients for Cartesian - partially derive the equation of the surface wrt each variable. But I have no idea how to do it for non-Cartesian coordinate systems.

I tried using the chain rule to get [tex]\frac{{\partial g}{\partial x}}[/tex] and [tex]\frac{{\partial g}{\partial y}}[/tex] so I could plug them into [tex]\nabla g[/tex]. But then I'm ending up with tans and sines and cosines all over the place.