Answer: Choice C
We have an expression in the form
![(f(x+\Delta x)-f(x))/(\Delta x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9edbapaj9u1hge2ibjkx5x4dlq9z8y2osy.png)
where the
term is approaching 0, which is what the "lim" indicates (we're applying a limit).
Note how in
, we effectively replace every copy of x with
![x+\Delta x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/m661el50i874dvcfaofgpkryqv9rwf56oc.png)
Choice D is close, but it's missing the "lim" notation, so it's not 100% accurate.