Exercise 5: Given 𝑤 = 𝑒^𝑥−𝑦 − 𝑧^2𝑦 + 𝑥

with 𝑥 = 𝑢 − 𝑣

𝑦 = 𝑢 + 𝑢^3ln(𝑣 − 1)

𝑧 = 𝑢𝑣

find the direction of maximum directional derivative of 𝑤 = 𝑤(𝑢, 𝑣) at (𝑢, 𝑣) = (1,2) and the value of said maximum derivative.

The correct answer is (-11,-9,-2)

asked by guest
on Oct 21, 2024 at 4:14 pm



Mathbot Says...

I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.