Question

How do you differentiate `(x+1)/2`?

Answer 1

`1/2`

Explanation:

First rewrite the expression as follows.

`(x+1)/2=1/2(x+1)=1/2x+1/2`

now differentiate using the `color(blue)"power rule"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1)" and " d/dx"(constant)"=0)color(white)(a/a)|)))`

`d/dx(1/2x+1/2)=1/2+0=1/2`