Problem

Hannah tried to find the derivative of minus, 3, plus, 8, x using basic differentiation rules. Here is her work:
=ddx(3+8x)Step 1=ddx(3)+ddx(8x)Step 2=0+ddx(8x)Step 3=ddx(8)ddx(x)Step 4=01Step 5=0\begin{aligned} &&&\phantom{=}\dfrac{d}{dx}(-3+8x) \\\\ \text{Step 1} &&&=\dfrac{d}{dx}(-3)+\dfrac{d}{dx}(8x) \\\\ \text{Step 2} &&&=0+\dfrac{d}{dx}(8x) \\\\ \text{Step 3} &&&=\dfrac{d}{dx}(8)\dfrac{d}{dx}(x) \\\\ \text{Step 4} &&&=0\cdot 1 \\\\ \text{Step 5} &&&=0 \end{aligned}
At which step did Hannah make a mistake, if at all?
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