Purchase Solution

Partial Derivatives

Not what you're looking for?

Ask Custom Question

Verify: If f(x, y, z) = 2z^(3) - 3 (x^(2) + y^(2)) z , then F_xx + F_yy + F_zz = 0 .

P.S. F_xx = F(subscript)xx, etc.....

Purchase this Solution
Solution Summary

Partial derivatives are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Partial Derivatives using Chain Rule

    309865 Partial Derivatives using Chain Rule Need help finding partial derivatives of attached problems.

  • Vectors and Partial Derivatives : Laplace's Equation

    As z = x^(2) - y^(2) + 2xy, we have (partial derivatives) zx=2x+2y and zy=-2y+2x Consider zx=2x+2y. Taking partial derivatives with respect to x, we have zxx=2 Similarly, consider zy=-2y+2x.

  • 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.

  • 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.

  • First partial derviatives

    219056 First Partial Derviatives See attachment. Compute the first partial derivatives of the function: W = 4x^3 y^2 - 3xyz + 7yz^2.

  • Second Partial Derivatives

    174464 Second partial derivatives Find all the second partial derivatives. Please see the attached file. The solution file is attached. All the second partial derivatives of w = sqrt(u^3 + v^3) have been worked out.

  • Cauchy-Riemann Equations : First-Order Partial Derivatives

    33531 Cauchy-Riemann Equations : First-Order Partial Derivatives Please see the attached file for full problem description. 3.

  • Continuous functions with nonvanishing first partial derivatives.

    Continuous functions with nonvanishing first partial derivatives are investigated.

  • 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.

  • 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.

View More Related Solutions