Find the derivative of the function.
\[
h(x)=4^{x^{2}-x}
\]

Step 1 ：Identify the outer function as \(4^{u}\) and the inner function as \(x^{2}-x\).

Step 2 ：Find the derivative of the outer function using the power rule. The derivative of \(4^{u}\) is \(4^{u} \ln(4) \cdot u'\).

Step 3 ：Find the derivative of the inner function. The derivative of \(x^{2}-x\) is \(2x-1\).

Step 4 ：Apply the chain rule. The derivative of the composite function is the derivative of the outer function times the derivative of the inner function. So, the derivative of \(h(x)=4^{x^{2}-x}\) is \(4^{x^{2}-x} \ln(4) \cdot (2x-1)\).

Step 5 ：\(\boxed{h'(x)=4^{x^{2}-x} \ln(4) \cdot (2x-1)}\) is the simplest form of the derivative.