The derivative of (x, y, z) at a point P is greatest in the direction of v

Question:

The derivative of ƒ(x, y, z) at a point P is greatest in the direction of v = i + j - k. In this direction, the value of the derivative is 2√3.

a. What is ∇ƒ at P ? Give reasons for your answer.

b. What is the derivative of ƒ at P in the direction of i + j ?

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: