Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
4. Let ƒ (x₁, ..., xn) = x² + x² + +x²2/12 Find the directional derivative of f in the direction given by the vector a = (a₁, a₂, ..., an) by using definition (6). Check the result by using (8). (Suppose that ||a|| = 1.)

4. Let ƒ (x₁, ..., xn) = x² + x² + +x²2/12 Find the directional derivative of f in the direction given by the vector a = (a₁, a₂, ..., an) by using definition (6). Check the result by using (8). (Suppose that ||a|| = 1.)

Calculus For The Life Sciences
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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
See similar textbooks
icon
Related questions
Question

Can you please answer this in pencil and paper? There's no need to check the result with (8).

f'(x) = lim h→0 or, with its components written out, f(x₁,...,xn) = lim h→0 f(x+ha)-f(x) h f(x₁ + hai, ., xn+han) - f(x₁,...,xn) h (6)
Transcribed Image Text:f'(x) = lim h→0 or, with its components written out, f(x₁,...,xn) = lim h→0 f(x+ha)-f(x) h f(x₁ + hai, ., xn+han) - f(x₁,...,xn) h (6)
4. Let ·+x²²/2 Find the directional derivative of f in the direction given by the vector a = : (a₁, a₂, ..., an) by using definition (6). Check the result by using (8). (Suppose that ||a|| = 1.) f(x₁,...,xn) = x² + x² +
Transcribed Image Text:4. Let ·+x²²/2 Find the directional derivative of f in the direction given by the vector a = : (a₁, a₂, ..., an) by using definition (6). Check the result by using (8). (Suppose that ||a|| = 1.) f(x₁,...,xn) = x² + x² +
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer