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Let {eq}z = \cos(x^5 + y^5) {/eq}. Find {eq}\displaystyle \dfrac {\partial z}{\partial y} {/eq}.

Question:

Let {eq}z = \cos(x^5 + y^5) {/eq}. Find {eq}\displaystyle \dfrac {\partial z}{\partial y} {/eq}.

Partial Derivatives:

We can differentiate a wide variety of functions, even if they have more than one variable. However, since we can only differentiate with respect to one variable at a time, we need to treat the remaining variables in the function as coefficients and constants.

Answer and Explanation: 1

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This is a function of both x and y, so we need to pick one variable to work with. The problem wants us to find the partial derivative with respect to...

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Partial Derivative: Definition, Rules & Examples

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Chapter 18 / Lesson 12
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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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