SOLUTION: Perform a first derivative test on the function f(x)= 2x^3+3x^2-120x+2; [-5,7]. a. Locate the critical points of the given function. b. Use the first derivative test to locate th

Question 1155974: Perform a first derivative test on the function f(x)= 2x^3+3x^2-120x+2; [-5,7].
a. Locate the critical points of the given function.
b. Use the first derivative test to locate the local maximum and minimum values.
c. Identify the absolute minimum and maximum values of the function on the given interval(if they exist).

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

[,]

a. Locate the critical points of the given function.

find first derivative

'
set '

will be zero if
.....factor

=> extreme points are at

and

use second derivative test to determine where is max and where is min
''

'' => negative, the absolute maximum is at

'' => positive, the absolute minimum is at

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