Prove that X2 Zxx+2XY.Zxy+Y2Zyy By taking Z =Xnf(y/x) Zx = differentiate with respect to x like

Prove that X2 Zxx+2XY.Zxy+Y2Zyy By taking Z =Xnf(y/x) Zx = differentiate with respect to x like

How do I take partial derivative of something like this: $$ \sum_{i=1}^n\sum_{j=1}^nb_i(b_ja_{ij}) $$ Both $b_i$ and $b_j$ is part of the same variable $b$, so...

f(xyz)= xyz fz = (e,1,0) I ended getting an answer of 1 . I am not sure if this is right.

Give detailed solution

This is partial derivative question. How to find fy (x,y)

Let f(x,y) = 1/(x2 - y) (a) Determine the critical points of f. (b) Does the limit of the function f at the point (0, 0) exist? Justify your answer

find a point within a triangle such that the sum of the squares of its distances from three vertices is minimum

I need a step by step solution for this question. I am very confused.

Let w=f(x,y) be a function of two variables and let x=u+v, y=u-v. Show that ∂2w/∂u∂v=∂2w/∂x2-∂2w/∂y2.

Prove that there is a number δ >0 such that if x2+y2 < δ2 , then |x2+y2+3xy+180xy^5| < 1/10000 .

The following is a homework problem I have: http://i.imgur.com/eE0GuP9.png I'm not really sure how to go about this. What is the logic/steps I have to use to get to the final answer...

I'm having problems finding the following: say F = -kTN*ln(2*cosh(βμB)) where everything is a constant and β=(1/kT) I want to find S = -(∂F/∂T) and the answer should...

The acceleration due to gravity, g; is given by g = GM / r2 ; where M is the mass of the earth, r is the distance from the center of the earth, and G is the universal gravitational...

I have an equation based on the principle lim f(x) lim f'(x) x→x0 g(x) = ...

express dw/dt as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. then, evaluate dw/dt at the given value of t. 1...

find the ∂f/∂x and ∂f/∂y of: 1.f(x,y)=tan-1(y/x) 2.f(x,y)=e-xsin(x+y) 3. f(x,y)=x/(x^2+y^2)

Let a and b be positive constants. Let R(x,y) = bx^(a)y^(b) 1. Calculate x(∂R/∂x) + y(∂R/∂y). 2. Calculate (a + b)R(x,y). 3. How are the two expressions above related...