The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show this as quickly as possible, whichvariable would you differentiate with respect to first: x or y? Try toanswer without writing anything down. ƒ(x, y) = x2 + 5xy + sin x + 7ex

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
icon
Related questions
Question

The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of the
following functions. To show this as quickly as possible, which
variable would you differentiate with respect to first: x or y? Try to
answer without writing anything down. ƒ(x, y) = x2 + 5xy + sin x + 7ex

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Partial Derivatives
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,