Question

Y=(ax+b) Find dx/dy?

Answer 1

`dy/dx=a`

Explanation:

Think of `a` and `b` as real numbers. So when you differentiate `y` with respect to `x`, you will get:

`y = ax+b`
`dy/dx=a`

For example, say `y=2x+1`
An easy way to do this is by separating and differentiating each term separately:

So, `=dy/dx(2x)+dy/dx(1)`
Differentiating `dy/dx(2x) = 2`
Differentiating `dy/dx(1)= 0`
Therefore, the differential of `y=2x+1` is `2`