Higher-Order Partial Derivatives Definition & Examples


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question 1 of 3

f(x, y) = 12x2y3. Find the partial derivative of f with respect to y.

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1. Find the second partial derivative of f(x, y) with respect to x where f(x, y) = y cos(2x).

2. The results are the same, if the order of differentiation is reversed for a second-order mixed partial derivative provided the function is _____.

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About This Quiz & Worksheet

This quiz/worksheet combo will measure your ability to solve higher-order partial derivative equations. You will need to answer several practice problems.

Quiz & Worksheet Goals

In this set of questions you'll assess your understanding of:

  • Second-order mixed partial derivatives
  • Fourth-order partial derivatives
  • Second partial derivatives

Skills Practiced

  • Critical thinking - apply relevant concepts to examine information about partial derivatives in a different light
  • Problem solving - use acquired knowledge to solve partial differentiation practice problems
  • Information recall - access the knowledge you've gained regarding when the results of a second-order mixed partial derivative will be the same even if the differentiation is reversed

Additional Learning

If you would like to know more about these mathematical concepts, review the lesson titled Higher-Order Partial Derivatives Definition & Examples. It will explain:

  • Terminology used in this type of function
  • How to right derivatives with respect for x
  • Examples of higher-order derivative equations