Let z = f(x, y), u = x^2 + y^2 and \ v = 4xy \\ Find \frac { \partial x}{\partial u}, \frac...
Question:
Let {eq}z = f(x, y), \: u = x^2 + y^2 {/eq} and {eq}v = 4xy. {/eq}
Find {eq}\displaystyle\frac { \partial x}{\partial u}, \: \frac {\partial x}{\partial v}, \: \frac {\partial y}{\partial u}, \: \frac {\partial y}{\partial v} {/eq}
Partial Derivative:
To find the derivative of the partial derivative of several variables with respect to one of the variable. To find the partial derivative of one of the variable the other variables treated as constant.
Answer and Explanation: 1
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View this answerGiven: {eq}z = f\left ( x, y \right ), u = x^2 + y^2 and v = 4xy {/eq}
Find the value of {eq}\frac { \partial x}{\partial u} {/eq}.
{eq}\frac {...
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Chapter 18 / Lesson 12What is a Partial Derivative? Learn to define first and second order partial derivatives. Learn the rules and formula for partial derivatives. See examples.