#8, Given f(xy)=3x4-2x³y. (a) Find the rate of change of f in the direction of vector u=(-1,47, it the point Po (-1,-2). (b) Find the linearization L(x,y) near Po and use it to estimate f (-0.96,-2.03) (c) Find an upper bound for the error incurred in replacing by L on the rectangular region -1.04≤x≤-0.96 R: -2.03≤ y ≤ -1.97 FL,

#8, Given f(xy)=3x4-2x³y. (a) Find the rate of change of f in the direction of vector u=(-1,47, it the point Po (-1,-2). (b) Find the linearization L(x,y) near Po and use it to estimate f (-0.96,-2.03) (c) Find an upper bound for the error incurred in replacing by L on the rectangular region -1.04≤x≤-0.96 R: -2.03≤ y ≤ -1.97 FL,

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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