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diff(F(x,F(x)), x);

 

how to differentiate this?

 

(D[1](F))(x, F(x))+(D[2](F))(x, F(x))*(diff(F(x), x))

 

how to find (D[1](F))(x, F(x)) and (D[2](F))(x, F(x)) ?

 

i guess need define new calculus for two variables

Limit((F(x+h,F(x+h)) - F(x,F(x)))/h, h = 0);

Limit((F(x+h,F(x)) - F(x,F(x)))/h, h = 0);
Limit((F(x,F(x+h)) - F(x,F(x)))/h, h = 0);

Limit((F(x+h,F(x,y)) - F(x,F(x,y)))/h, h = 0);
Limit((F(x,F(x+h,y)) - F(x,F(x,y)))/h, h = 0);

 

if inside F(x) is F(x,y)

it seems need to find the basic definition of F(x,y) first

if i define F(x,y) as

F := (x,y) -> min(x,y)/max(x,y);

 

i may be wrong, how to differentiate correctly?

A new Maple e-book, Multivariate Calculus Study Guide, is now available. Part of the Clickable Calculus collection of interactive Maple e-books, this guide takes full advantage of Maple’s Clickable Math approach. It has over 600 worked examples, the vast majority of which are solved using interactive, Clickable Math techniques. 

Deisgned to help students taking this course, instructors may also find this e-book useful as a guide to using Clickable Math to teach Multivariate Calculus.

See Multivariate Calculus Study Guide for more information.

 

eithne

and why are there decimal points after certain numbers?

I'm taking 2nd semester calculus and in this maple lab, I can't seem to get Maple to evaluate this correctly. Any help is appreciated.

My friend did this and got the first constant, 392..., and just a2, so it was 392.07a2

I am doing a Calculus assignment and I can't find the commands for certain things.

1.Given the function f(x) = ((x+1)^2) / (1+x^2)

i) The domain of continuity of f(x)

ii) The intervals of increase and decrease of f(x) by using test points.

 

2. Use the IVT to prove existence of a root to the equation x^3 +10x^2 -100x +50=0 in the interval [-20,10]. Use again the IVT to show that there is a 1st root in [-17,-15], a 2nd toot in [0,1] and a 3rd root in [ 5,6]. Find or approximate those roots with Maple. (the bolded is what I need help).

So I am using the with(Student[MultivariateCalculus]); package to find the maximum and minimum of the fumction xyz to the given constraint: LagrangeMultipliers(x*y*z, [x^2+4*y^2+4*z^2-4], [x, y, z]) and I got 14 points. But to find the global maximum/minimum I need to evaluate all these points in the main function xyz. I tried converting it to a list and doing something and checked out this thread but it's only for single variable stuff so I am not sure how to extrappolate it to my case.

http://www.mapleprimes.com/questions/202529-Evaluating-A-Function-At-More-Than-One-Point#

These were my points by the way, Yeah lots.

[0, 0, 1], [0, 0, -1], [0, 1, 0], [0, -1, 0], [2, 0, 0], [-2, 0, 0], [(2/3)*sqrt(3), (1/3)*sqrt(3), (1/3)*sqrt(3)], [-(2/3)*sqrt(3), -(1/3)*sqrt(3), -(1/3)*sqrt(3)], [(2/3)*sqrt(3), (1/3)*sqrt(3), -(1/3)*sqrt(3)], [-(2/3)*sqrt(3), -(1/3)*sqrt(3), (1/3)*sqrt(3)], [(2/3)*sqrt(3), -(1/3)*sqrt(3), (1/3)*sqrt(3)], [-(2/3)*sqrt(3), (1/3)*sqrt(3), -(1/3)*sqrt(3)], [(2/3)*sqrt(3), -(1/3)*sqrt(3), -(1/3)*sqrt(3)], [-(2/3)*sqrt(3), (1/3)*sqrt(3), (1/3)*sqrt(3)]

How would I find inflection points? I believe it would the same as if I was finding critical points for f '.

Function is:(7-x)*sin(x^2-7)

So would it be:

a:=fsolve(f2,-2.4..2.4);
b:=fsolve(f2,-2.4..-0.06);
c:=fsolve(f2,-0.06..2.4);
d:=fsolve(f2,1.49..3);
e:=fsolve(f2,-3 ..-1.52);

 

Plz and thanks!

Hi,

Ive been trying to solve critical points for maple but i keep getting this werid equation:

(1/7)*RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)+1+(1/14)*tan(RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)).

 

What I have typed

f:=x->(7-x)*sin(x^2-7);

f1:=D(f);

When I try putting:

solve(f1(x)=0);

I get that werid equation

 

Hi,

i have been looking to see if i could get the source code for some of the calculus functions in maple. So far, i have tried this

kernelopts(opaquemodules = false)

interface(verboseproc = 3)

print(DiffTutor)

which shows the result

module() ... end module

does anybody have any idea how i would:

1) get the full list of sub-procedures in the module

2) get the source code of any of the sub-procedures in the module?

Thanks in advance!!

Here we see the projection of a vector onto another using different concepts ranging from linear algebra to vector calculus. Implemented components thus seen in three-dimensional space.

 

Proyecciones_Vectoriales.mw

(in spanish)

L.Araujo C.

I am planning on getting Maple 18 Student Editon and I am wondering if the calculus palette is in Maple 18 student edition.

Thanks

Nick

We're starting on indefinite integrals in my 1st year calculus class.

 

A quick example would be int(sin(x), x);=-cos(x)+C

 

Maple doesn't add the +C on the end of it's solution. Can someone explain or point me to a resource? I've tried searching but I can't find an answer. 

hello everyone..

please...

I need help to write a code to calculate the riemann sum approximation of the curve cos(sqrt(x^2+y^2)+1 

calculate the actual volume using integration

use the ranges x=[-2pi to 2pi]=y, and 20 subdivisions.

also display the curve and the parallelepiped approximations on the same plot.

 

Thank you for your help!

hi everyone,

i need help to write a maple code to generate an animation sequence showing the taylor series approximation of tan(x) from 

N=1..5.

plot the animation from x=-2pi to 2pi and y=-5 to 5.

 

thank you for your help..

hi everyone,

I need help writing a maple code to calculate the normal to the curve X^2-2X at x=1

and also display the curve, the tangent, and the normal on the same plot in the range x=[-2,2].

 

thank you for your help!

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