# [Maxima] Maxima algebraic simplification

Richard Hennessy rvh2007 at comcast.net
Thu May 8 03:01:04 CDT 2008

```An oversight

Try

(sqrt(x+h)-sqrt(x))/h;

% / (sqrt(x+h)-sqrt(x));

-> 1/(h*(sqrt(x+h)-sqrt(x)))

------------Original Message------------
From: "Richard Hennessy"<rvh2007 at comcast.net>
To: "Ronald Modesitt" <rmodesi at msn.com>, maxima at math.utexas.edu
Date: Thu, May-8-2008 3:25 AM
Subject: Re: [Maxima] Maxima algebraic simplification

Why do you want to make the numerator 1?

(sqrt(x+h)-sqrt(x))/h;

% / (sqrt(x+h)-sqrt(x));

-> 1/(h*(sqrt(x+h)-sqrt(x)))

Rich

------------Original Message------------
From: "Ronald Modesitt" <rmodesi at msn.com>
To: maxima at math.utexas.edu
Date: Wed, May-7-2008 9:15 PM
Subject: [Maxima] Maxima algebraic simplification
Hi all, more questions from a newbie reviewing calculus:

If F(x)=sqrt(x), then
F(x+h) =sqrt(x+h) and
(F(x+h) –F(x))/h = (sqrt(x+h) –sqrt(x))/h.

To set the numerator to 1 we multiply thru by
sqrt(x+h) + sqrt(x)/((sqrt(x+h) +sqrt(x))

this yields
1/(sqrt(x+h) + sqrt(x)).

My question is this. How do I ask Maxima to set the numerator to a specific value, in this case 1?

Ron

Ronald F. Modesitt, PE

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