Find {eq}\,f_{x} {/eq}.

{eq}\displaystyle f(x,y) = \frac{x^{2} + y^{2}}{xy} {/eq}


Find {eq}\,f_{x} {/eq}.

{eq}\displaystyle f(x,y) = \frac{x^{2} + y^{2}}{xy} {/eq}

Partial Derivatives:

We have a multivariable function that contains quadratic terms. We will find the derivative of the function with respect to one variable keeping the other variable constant. We differentiate with the help of rules and standard derivative formulas.

Answer and Explanation: 1

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$$\displaystyle f(x,y) = \frac{x^{2} + y^{2}}{xy} $$

We will differentiate the function with respect to x while keeping y constant:

We will apply...

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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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