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Second partial derivatives
216645 Finding the Second Partial Derivatives Find the second partial derivatives of:
z = x / (x+y). z = x/(x+y) = (x+y-y)/(x+y) = 1 - y/(x+y)
So the partial derivative of z are
dz/dx = y/(x+y)^2
dz/dy = -x/(x+y)^2.
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Second Partial Derivatives Determination
91125 Second Partial Derivatives Determination Find the three partial derivatives of f(x,y). See attached file. Please see the attached file. This solution shows how to find second partial derivatives.
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First and second partial derivatives
160171 First and second partial derivatives
The problem is: Z = X COS Y - Y COS X
I am to find all of the first and second partial derivatives of this problem.
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Homogeneous functions and partial derivatives
205809 Homogeneous Functions and Partial Derivatives Each function f is homogeneous of degree n, that is f satisfies the equation f(tx,ty)= t^n f(x,y) for all t, where n is a positive integer and f has continuous second-order partial derivatives.
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Function, derivatives, error, and stationary points.
250038 Function, derivatives, error, and stationary points. See attached.
Consider the function of two real variables x and y (y not 1) defined by....
Find the first-order and second-order partial derivatives of f.
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Finding Second Partial Derivatives
93785 Finding Second Derivatives Find the three second partial derivatives of exp[-{(x-1)^2-(y-1)^2}/2] Please see the attached file for the complete solution.
Thanks for using BrainMass. Second derivatives are found.
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Advanced Calculus: Second-Order Approximation and the Second-Derivative Test
By part a), we know
So,
Note: Taylor formula (up to the second partial derivatives) is
All partial derivatives are evaluated at the point (a,b).
( Please keep the entire calculation or proof within one page.
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Partial Derivatives of Surface Equations and Clairaut's Theorem
124544 Partial Derivatives of Surface Equations and Clairaut's Theorem Find all the second partial derivatives.
47. f(x, y) = x^4 - 3(x^2)(y^3)
Verify that the conclusion of Clairaut's Theorem holds, that is, u_xy = u_yx.
55. u = ln[sqrt(x^2
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Multiple Variable Calculus Questions
Thanks This solutions explains how to find first and second order partial derivatives. This also explains how to interpret first order partial derivatives. Attached in Word.