7. 10 Consider the function f and the point Po given below. Find a unit vector u in the direction in which f decreases mopst rapidly at Po and find the rate of change of f at Po in that direction.. f(x, y) = √25-x² - y²; Po = (0,4).

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.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...
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7.
Consider the function f and the point Po given below. Find a unit vector u
in the direction in which f decreases mopst rapidly at Po and find the rate of change of
f at Po in that direction..
f(x, y) =
25 - x² - y²;
Po = (0,4).
Transcribed Image Text:7. Consider the function f and the point Po given below. Find a unit vector u in the direction in which f decreases mopst rapidly at Po and find the rate of change of f at Po in that direction.. f(x, y) = 25 - x² - y²; Po = (0,4).
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