The fifth-order partial derivative 5 /x 2 y 3 is zero for each of the following

Question:

The fifth-order partial derivative ϑ5ƒ/ϑx2ϑy3 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.

a. ƒ(x, y) = y2x4ex + 2

b. ƒ(x, y) = y2 + y(sin x - x4)

c. ƒ(x, y) = x2 + 5xy + sin x + 7ex

d. ƒ(x, y) = xey2/2

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

Question Posted: