Katy tried to find the derivative of $10x+3$ using basic differentiation rules. Here is her work:
$\begin{align}
&&&\phantom{=}\dfrac{d}{dx}(10x+3)
\\\\
\text{Step 1}
&&&=\dfrac{d}{dx}(10x)+\dfrac{d}{dx}(3)
\\\\
\text{Step 2}
&&&=\dfrac{d}{dx}(10x)+0
\\\\
\text{Step 3}
&&&=10\dfrac{d}{dx}(x)
\\\\
\text{Step 4}
&&&=10\cdot 1
\\\\
\text{Step 5}
&&&=10
\end{align}$
**At which step did Katy make a mistake, if at all?**
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