Let z = {x y} / {4 y^2 - 4 x^2}. Then, find: (a) {partial z} / {partial x} (b) {partial z} /...
Question:
Let {eq}\displaystyle z = \dfrac {x y}{4 y^2 - 4 x^2} {/eq}. Then, find:
(a) {eq}\displaystyle \dfrac {\partial z} {\partial x} {/eq}
(b) {eq}\displaystyle \dfrac {\partial z} {\partial y} {/eq}
Partial derivative
When a function has more than one independent variables then we can find the partial derivative of the function by assuming another variable as constant. The partial derivative of the function {eq}F(x,y) {/eq} with respect {eq}x {/eq} is denoted by {eq}\dfrac{\partial F}{\partial x} {/eq}
Answer and Explanation: 1
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View this answerWe have the function {eq}\displaystyle z = \dfrac {x y}{4 y^2 - 4 x^2} {/eq}. Then, find:
(a) {eq}\displaystyle \dfrac {\partial z} {\partial...
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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.