Calculate the directional derivative of
f(x,y,z)=x(y^2)+y((1-z)^(1/2)) at the point P(1,−2,0) in the
direction of the vector v...
50.1K
Verified Solution
Link Copied!
Question
Basic Math
Calculate the directional derivative off(x,y,z)=x(y^2)+y((1-z)^(1/2)) at the point P(1,−2,0) in thedirection of the vector v = 5i+2j−k. (a) Calculate the directionalderivative of f at the point P in the direction of v. (b) Find theunit vector that points in the same direction as the max rate ofchange for f at the point P.
Answer & Explanation
Solved by verified expert
3.8 Ratings (461 Votes)
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
