Purchase Solution

Partial Derivitives and the Chain Rule

Not what you're looking for?

Ask Custom Question

Let F(u,v) be a function of two variables. Find f '(x) for each of the following. Use F_u and F_v for F_u and F_v

(a) f(x) = F(x, 6).
f '(x) =

(b) f(x) = F(3, x).
f '(x) =

(c) f(x) = F(x, x).
f '(x) =

Purchase this Solution
Solution Summary

The expert examines partial derivatives and the chain rules.

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

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

Multiplying Complex Numbers

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

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.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Partial derivatives and chain rule

    230869 Partial derivatives and chain rule Find (partial z)/(partial u)( and ) (partial z)/(partial v) using the chain rule. Assume the variables are restricted to domains on which the functions are defined.

  • Partial derivatives

    Find the indicated partial derivatives. 1.) f(x,y)= sin(y-x); df/dx(3,3) Using the chain rule, Therefore, at (x, y) =(3, 3), 2.)z= (x^3 + y^3)/(x^2 + y^2); dz/dx, dz/dy Using chain rule and quotient rule, Similar to x, we find the

  • Chain rule

    13780 Chain Rule Partial Derivative Write chain rule formulas giving the partial derivative of the dependent variable p with respect to each independent variable: p=f(x, y, z); x=x(u, v), y=y(u, v), z=z(u, v) p=f(x, y,

  • Apply the chain rule to finding partial derivatives.

    34549 Apply the Chain Rule to Finding Partial Derivatives A. Use the chain rule to find dz/ds and dz/dt as functions of x, y, s and t B. Find the numerical values of dz/ds and dz/dt when (s,t) = (2, -2). Suppose z = x2 sin y, x =...

  • Partial Derivatives and Appropriate Chain Rule

    9015 Partial Derivatives and Appropriate Chain Rule Find partial deriv's w/r and w/theta using appropriate chain rule for : w=the square root of (25-5x^2-5y^2), where x=r cos theta, y= r sin theta. w = (25 - 5r^2(cos^2 (theta) + sin^2(theta)))^1/2 or

  • Chain Rule : Finding Where f is Differentiable

    Using the chain rule, show that if z = y + f(x^2 - y2), where f is differentialbe, then partial derivatives y(dz/dx) + x(dz/dy) = x Solution: The chain rule for a function of two variables is given by, If z=f(x, y) is differentiable and x

  • Partial Derivatives using Chain Rule

    Two multivariable formulas are given and partial derivatives of both are found using the chain rule.

  • Partial Differentiation and the Chain rule

    71483 Partial Differentiation and the Chain rule The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.

  • Apply the chain rule to a partial derivative.

    34548 Apply the chain rule to a partial derivative Use the chain rule to find dw/dt as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e5t as x. dw/dt = Suppose: w = x/y + y/z ...

View More Related Solutions