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


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

Become a member to unlock this answer!

View this answer

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...

See full answer below.

Learn more about this topic:

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.

Related to this Question

Explore our homework questions and answers library