Solving Directional Derivative Problems: A Comprehensive Guide

Thread starter karens
Start date Jun 7, 2010
Tags

Derivative Directional derivative

Click For Summary

SUMMARY

This discussion focuses on solving directional derivative problems using the formula for directional derivatives. The key components include calculating the partial derivatives f_x(2,1) and f_y(2,1) at the point (2,1), and determining the appropriate values for a and b based on the given unit vector (3/5, -4/5). The conversation emphasizes the importance of accurately applying these concepts to compute the directional derivative effectively.

PREREQUISITES

Understanding of partial derivatives
Familiarity with directional derivatives
Knowledge of unit vectors
Basic calculus concepts

NEXT STEPS

Calculate partial derivatives using specific functions
Explore the application of directional derivatives in multivariable calculus
Study the properties of unit vectors in vector calculus
Practice solving directional derivative problems with different unit vectors

USEFUL FOR

Students and professionals in mathematics, particularly those studying multivariable calculus, as well as educators seeking to enhance their teaching methods for directional derivatives.

Jun 7, 2010

karens

nvmnd - solved

Last edited: Jun 7, 2010

Physics news on Phys.org

Jun 7, 2010

Coto

Hey karens,

Well you have the formula written above. Why don't you start by showing us what f_x (2,1), f_y (2,1) are and what a, b should be considering your unit vector \left(\frac{3}{5}, \frac{-4}{5}\right).