Question

What is the derivative of `x/2`?

Answer 1

`1/2`

Explanation:

Just like the derivative of `5x` is `5`, we can write `x/2` as `1/2x`. The derivative of `1/2x` is `1/2`.

We can show this since, when differentiating, constants can be brought outside the differentiation.

Where `k` is a constant, `d/dx(kx)=k*d/dx(x)=k(1)=k`.

Thus, `d/dx(1/2x)=1/2*d/dx(x)=1/2(1)=1/2`.