Explore BrainMass

maximum value of the directional derivative

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Let f(x,y) = x^2 - y^3

a) Find the gradient of f(x,y) at (3,2).

b) compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v = <4,3>

c) Find the maximum value of the directional derivative of f(x,y) at (3,2) and the direction in which it occurs.

© BrainMass Inc. brainmass.com October 15, 2018, 9:21 pm ad1c9bdddf - https://brainmass.com/math/derivatives/maximum-value-directional-derivative-357396

Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is ...

Solution Summary

The two dimensional gradient operator is expressed clearly.