# 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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We 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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