# Homework Help: Derivative help

1. Jul 22, 2010

### annoymage

1. The problem statement, all variables and given/known data

let y be the function of x

how do i define ((d/dx)-1)y
is it dy/dx -y ??? if so, which definition should i know to proof this property? help help

2. Jul 22, 2010

### hunt_mat

You have defined a differential operator:
$$T=\frac{d}{dx}-1$$
It is a linear operator, this is clear but it can be proven.

3. Jul 22, 2010

### annoymage

differential operator thanks, i'm looking forward to that, but before that,

what should i do to resolve ((d/dx)-1)x^2

how to do that?

2x-x^2???

4. Jul 22, 2010

### hunt_mat

Correct! Your differential operator says that given a function I should differentiate it and take away the original function.

Mat