Items tagged with derivative derivative Tagged Items Feed

How to solve the  partial derivative at a specified point

The latex code is

f(x,y)=x+(y-1)\arcsin\sqrt{\frac{\,x}{y}}

f''_{xx}(x,1)

I'm now using Maple 15 to get derivative funtions in a function with multiple parameters. So I want to find out the derivative w.r.t just one parameter. In the forum, I found out one way to solve this issue. 

In order to prove the correctness of the function D[3](m,n,p,r,x), I firstly use a very simple program to test it. 

In the Engineering PoA-Example.mw file, I've used a simple function called testFor with 5 parameters to generate a mathematical...

Hi,

I'd like to take the second derivative of the following function (see below), but I keep ending up with an

Error, (in content/polynom) general case of floats not handled

The range of the equation that I want to look at is from 0 to 1 and I know that it "blows up" around 0.09 for EQ1 but not EQ2.

The commands that I've tried are diff(%,FIO2) and Diff(%,FIO2).  I'm probably missing something obvious, so hopefully someone can tell me...

Hi,    I have the following    

for i from 1 to 100 do    x[i]:=cos(θ[i]);     y[i]:=sin(θ[i])  end do; 

Now I want to find the first and second derivatives for x[i] and y[i] which are

for i from 1 to 100 do     x1dot[i]:=-sin(θ[i]);     y1dot[i]:=cos(θ[i]); 

                         ...

I have a region x^2 + y^2 <= 1 and y>=0. It's temperature function is f(x,y) x^2 - 2y^2 + x + y. How do I find the max and min temperatures on the lower boundary y=0?

I took the derivatives with respect to x and with respect to y such that:

fx:=diff(f(x,y),x);

fy:=diff(f(x,y),x);

Then I used fsolve({fx=0, fy=0},{x,y}) which game me (-0.5, 0.25)

Is there really only one critical point on that lower bound...

create the function f(x)=(x²,x=<0), (2x, 0<x<1), (2sin(Pi.x/2),x>=1). how do you find derivative in one command and integrate f(s)ds from -1 to 2.

Hi,

I would like to discribe the following function.

w(ξ,s):=N(s)*w(ξ)

N(s) and w(ξ) are both matrix. I have defined N(s) but will be searching for w(ξ) much later in the process. Why does it not allow me to define a partial derivative of w(ξ) now for future use? d/dξ(w(ξ)) is not allowed. it says that "Error, invalid input: w uses a 2nd argument, s, which is missing". But my w(ξ) only depends on the variable ξ.

2nd question, how do i tell maple that x...

Hi everybody,

during testing the physics package I tried the following example

with(Physics):

Setup(anticommutativeprefix = {Q});

G:= Intc(Q1(x),Q2(y),x,y);

Fundiff(G,Q2(u));

The output of the last command seems to be wrong. The Maple Help does not say anything about functional derivatives with respect to anti commuting functions.

Is there a possibility to perform such functional derivatives with respect to anti commuting functions in Maple?...

Hi,

I need help of your expertize in solving the following queries:

I would start with a sample equation:

Eq1 = u_{xxxx} + u_{xxyy} - v_{xxxy} - v_{xyyy} 
where u_{xxxy} represents 4th order pde of u i.e. d^4/(dx^3 dy).

I get a equation similar to Eq1 (but quite complicated) on solving the 
equilibrium equations. I would like to collect the similar derivatives
for variable u and v together like

Eq2 = d^2/d x^2 ( u_{xx} + u_{yy} ) - d^2/dx dy ( v_{xx} + v_{yy} )

In next procedure i calculated 1st derivative of H in y=0 via series approximation. And i see that some terms of series are missed. If i would raise second parameter to cnt+20 for FuncToSeries in GetLimitsArray it becomes better. But why it's not OK with even cnt+8? series_test.mw

Over the weekend I was attempting to estimate the tension change in a bicycle spoke due to an applied load.  After various simplifications and approximations, the problem was reduced to the following.

Given a constraint, F(x,y) = 0, and functions G(x,y) and H(x,y), find dG/dH at a particular point, here (0,0). 

The constraint, F, was sufficiently complicated that solving for either variable was not feasible, so implicit differentiation seemed the best...

main.mw

Please, start attach from beginning till that place where 

How to solve this problem in maple?
Decide which of three lines given are tangent to the graph of f(x) at given points.
The function to define is f(x)=2x^3-4x^2+3x-5
The possible tangent lines are:
y = x - 5
y = 2x - 5
y = 3x - 5

1. What is/are the zero(es) for this function? In other words, what is the solution for f(x)= 0

2.  What axes values (x- and y- ranges) are appropriate for this graph?

3. When plotting each linear function with f(x...

I'm very new to this... I need to find the total derivative of y=(a-3)/(b+3) given that a=r*t and b=s*t

Pretty basic stuff here...

How can I get Maple to do this - go from Step (1) directly to Step (5 or beyond).  I'm guessing that all I have to do is figure out how to enter the derivative dy/dx into the document and then Solve for whatever variable I like.

Thanks in advance!