Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - Review - Exercises - Page 1024: 43


$\lt 2xe^{yz^2}, x^2z^2e^{yz^2}, 2x^2yze^{yz^2}\gt $

Work Step by Step

Given: $f(x,y,z)=x^2e^{yz^2}$ $f_x=2xe^{yz^2}$ $f_y=x^2z^2e^{yz^2}$ $f_z=2x^2yze^{yz^2}$ Gradient vector of $f$ is: $\lt 2xe^{yz^2}, x^2z^2e^{yz^2}, 2x^2yze^{yz^2}\gt $
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