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.

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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.

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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.

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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

Here's a Maple bug:

If you define the function f(x) = (5 - y) ^ (4/3), then try to evaluate it at f(-3), you get the wrong answer.  To get the right answer you must evaluate it at f(-3.)  Of course we know that Maple distinguishes between exact answers & decimal answers, but both answers are supposed to be the same.  In the first case, you get 88^(1/3); in the second, the correct answer of 16.0. 

Anyone know what's going on?

Allan