Find all the first order partial derivatives of the following function: 

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To find the first-order partial derivatives of the function \( h(x, y, t) = e^{x-1} \cos(y + t) \), we need to differentiate it with respect to each variable \( x \), \( y \), and \( t \) separately.

1. First, let's find \(\frac{\partial h}{\partial x}\):
\[ \frac{\partial h}{\partial x} = \frac{\partial}{\partial x} (e^{x-1} \cos(y + ______ _____ _________ ______ __________.
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