The following example arrived in my email inbox a few weeks ago. It spurred a short but lively thread of discussion amongst some Maple developers.

I thought that it was interesting enough to post here. I'll hold off on giving my own opinion right away, because I'm curious to read what other MaplePrimes members might write about it.

> q := (6*((1/3)*a-1/9))/(36*a-116+12*sqrt(12*a^3-3*a^2-54*a+93))^(1/3);
                                   6 (a/3 - 1/9...

The attached Maple worksheet gives an outline of the basics of differentiating trigonometric functions, commonly encountered problems, and how to use Maple to solve them.

The attached Maple worksheet gives an outline of the basics of differentiating exponential functions, commonly encountered problems, and how to use Maple to solve them.

Download Attached File

The attached Maple worksheet gives an outline of the basics of Concavity, Points of Inflection and the Second Derivative Test, commonly encountered problems, and how to use Maple to solve them.

The attached Maple worksheet gives an outline of the basics of increasing and decreasing functions, commonly encountered problems, and how to use Maple to solve them.

Download Attached File

The attached Maple worksheet gives an outline of the basics of implicit differentiation, commonly encountered problems, and how to use Maple to solve them.

The attached Maple worksheet gives an outline of the basics of higher order derivatives, commonly encountered problems, and how to use Maple to solve them.

The attached Maple worksheet gives an outline of the basics of differentiation, commonly encountered problems, and how to use Maple to solve them.

The attached Maple worksheet gives an outline of the basics of limits, commonly encountered problems, and how to use Maple to solve your limit problems.

Download Attached File

Just read (and slightly edited) Wikipedia article about Maple. It has a picture of a stair-type plot of

plot(ln(x+2)/(x+2), x = .716 .. .72);

I checked it and it seems to look normal in Standard Maple (so I uploaded it there), but looks bad in Classic, independently of numpoints setting (it is not mine stair-like picture there). Is it going to be fixed, or Classic Maple is deprecated?

Alec

I believe I have found a bug in LinearAlgebra:-SmithForm. Consider the following:

with(LinearAlgebra):
A:=Matrix([[-3, 0, -2], [-3, 0, 2], [3, 0, -2], [3, 0, 2]]):
S,U,V := SmithForm(A, output = ['S','U','V'], method = 'integer'):
SS:=U.A.V:
Equal(S,SS);   #should return true
             false

Note that S and SS don't even have the same rank.

As it has appeared recently, in some examples Maple can't find int(1+f(x), x) in some cases where it can find int(f(x), x). For example, for f(x) = (x^2)^(1/3).

Now, reading Axel Vogt's post, I noticed that in some examples Maple can't do such a simple change of variables as changing the sign.

simplify(x-x) assuming x>0;

and a number of cognate commands crash the kernel in 11.02 under Windows XP.

Is this a known issue?

I am new here and I want to understand more.

__________________________________

Matt

Wide Circles