Problem

Nate tried to find the derivative of 5, x, minus, 1 using basic differentiation rules. Here is his work:
=ddx(5x1)Step 1=ddx(5x)ddx(1)Step 2=ddx(5x)0Step 3=5ddx(x)Step 4=51Step 5=5\begin{aligned} &&&\phantom{=}\dfrac{d}{dx}(5x-1) \\\\ \text{Step 1} &&&=\dfrac{d}{dx}(5x)-\dfrac{d}{dx}(1) \\\\ \text{Step 2} &&&=\dfrac{d}{dx}(5x)-0 \\\\ \text{Step 3} &&&=5\dfrac{d}{dx}(x) \\\\ \text{Step 4} &&&=5\cdot 1 \\\\ \text{Step 5} &&&=5 \end{aligned}
At which step did Nate make a mistake, if at all?
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