For the function h (x, y) = {3 x + 8 y} / {7 x y - 4}, find {partial h} / {partial x} and...


For the function {eq}\displaystyle h (x,\ y) = \dfrac {3 x + 8 y} {7 x y - 4} {/eq}, find {eq}\displaystyle \dfrac {\partial h} {\partial x} {/eq} and {eq}\displaystyle \dfrac {\partial h} {\partial y} {/eq}.

Partial Derivative:

The partial derivative of a function is the derivative of the function with regard to one of the variables when the function has two or more variables. The other variables will act as a constant when we evaluate the derivative with respect to one variable.

Answer and Explanation: 1

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Given: {eq}\displaystyle h (x,\ y) = \dfrac{3 x + 8 y}{7 x y - 4} {/eq}

We have to find the partial derivatives: {eq}\displaystyle \dfrac...

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Partial Derivative: Definition, Rules & Examples


Chapter 18 / Lesson 12

What is a Partial Derivative? Learn to define first and second order partial derivatives. Learn the rules and formula for partial derivatives. See examples.

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