Correct Partial Derivatives: Double Check my Answers

Thread starter MissP.25_5
Start date Jun 2, 2014
Tags

Derivatives Partial Partial derivatives

In summary, the purpose of finding correct partial derivatives is to understand how a function changes with respect to each of its variables. To check if your partial derivatives are correct, you can use the chain rule and product rule. Different methods can be used to find partial derivatives, such as the limit definition and implicit differentiation. Common mistakes include forgetting to apply the chain rule and making arithmetic errors. To improve skills, practice, understanding of concepts and rules, and seeking help from a tutor or attending a workshop can be beneficial.

Jun 2, 2014

MissP.25_5

Hello.
Can someone check if my partial derivatives are correct? I am not so confident with my answers.

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Jun 2, 2014

benorin

Homework Helper

Insights Author

Your [itex]u_x[/itex] is wrong, use product rule because you have a function of x times a function of x. For the others you can check them here:

http://www.quickmath.com/webMathematica3/quickmath/calculus/differentiate/basic.jsp

Related to Correct Partial Derivatives: Double Check my Answers

1. What is the purpose of finding correct partial derivatives?

The purpose of finding correct partial derivatives is to understand how a function changes with respect to each of its variables. This information is useful in many areas of science, such as physics, economics, and engineering.

2. How do I know if my partial derivatives are correct?

To check if your partial derivatives are correct, you can use the chain rule and product rule to verify your calculations. Additionally, you can compare your results to known solutions or use software programs to double check your answers.

3. Can I use different methods to find partial derivatives?

Yes, there are several methods to find partial derivatives, including the limit definition, implicit differentiation, and differentiation under the integral sign. It is important to choose the method that is most appropriate for the function and situation.

4. What are common mistakes when finding partial derivatives?

Common mistakes when finding partial derivatives include forgetting to apply the chain rule, mixing up variables, and making arithmetic errors. It is also important to check for continuity and differentiability of the function before attempting to find partial derivatives.

5. How can I improve my skills in finding correct partial derivatives?

Practice is key to improving your skills in finding correct partial derivatives. Make sure to understand the concepts and rules involved, and work through a variety of problems to gain confidence and mastery. Seeking help from a tutor or attending a workshop may also be beneficial.