Given the function f(x) = (x+3)²(x-1). Find the critical points of f (x) and its increasing and decreasingintervals. Determine whether the critical points are local minimum/local maximum/neither.

f(x)=x+32x-1f'x=x+32ddxx-1+x-1ddxx+32 =x+32+2x-1x+3 =x+3x+3+2x-1 =x+33x+1to find…

Answered: Given the function f(x) = (x+3)²(x-1).…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Given the function f(x) = (x+3)²(x-1). Find the critical points of f(x) and its increasing and decreasing als. Determine whether the critical points are local minimum/local maximum/neither.