Question

How do you find the derivative of `x/2`?

Answer 1

Use the facts that `x/2 = 1/2 x` and `d/dx(kx)=k` to get `d/dx(x/2) = 1/2`

Explanation:

`d/dx(x/2) = d/dx(1/2x) = 1/2 d/dx(x) = 1/2 (1) = 1/2`

If you prefer to use the quotient rule it looks like this:

`d/dx(x/2) = (d/dx(x)*2-x d/dx(2))/2^2`

`= (1*2-x*(0))/4 = 2/4 = 1/2`