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12345 [234]
3 years ago
8

EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 â 16x3 â 270x2 + 3 Video Example SOLUTION

f '(x) = 12x3 â 48x2 â 540x = 12x(x â 9)(x + 5) From the chart Interval 12x x â 9 x + 5 f '(x) f x < â5 â â â â decreasing on (ââ, â5) â5 < x < 0 â â + + increasing on (â5, 0) 0 < x < 9 + â + â decreasing on (0, 9) x > 9 + + + + increasing on (9, â) we see that f '(x) changes from negative to positive at â5, so f(â5) = 840 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. is a local minimum value by the First Derivative Test. Similarly, f '(x) changes from negative to positive at 9, so f(9) = -11512 Incorrect: Your answer is incorrect. is a local minimum value. And, f(0) = 3 Correct: Your answer is correct. is a local maximum value because f '(x) changes from positive to negative at 0.
Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:

Step-by-step explanation:

You need to have the + or - signs in there if anyone is going to be able to help you do this problem.

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Help me answer the question pleaseee!!!
vfiekz [6]

Option A,B,C,D,F are False

Option E is True

Step-by-step explanation:

Finding graphs of the equation: y= -4x+6

Checking all the options.

A) (-4,-10)

Plugging value of x as -4 and y as -10

-10=(-4)(-4)+6

-10 = 16+6

-10 ≠ 22

So, both sides of the equation will not be equal.

B) (-4,-22)

Plugging value of x as -4 and y as -22

-22=(-4)(-4)+6

-22=16+6

-22 ≠ 22

So, both sides of the equation will not be equal.

C) (1,10)

Plugging value of x as 1 and y as 10

10=(-4)(1)+6

10 = -4+6

10 ≠ 2

So, both sides of the equation will not be equal.

D) (1,-2)

Plugging value of x as 1 and y as -2

-2=(-4)(1)+6

-2 = -4+6

-2 ≠ 2

So, both sides of the equation will not be equal.

E) (4,-10)

Plugging value of x as 4 and y as -10

-10=(-4)(4)+6

-10 = -16+6

-10 = -10

So, both sides of the equation will be equal.

F) (4,-22)

Plugging value of x as 4 and y as -22

-22=(-4)(4)+6

-22 = -16+6

-22 ≠ -10

So, both sides of the equation will not be equal.

So, Option A,B,C,D,F are False

Option E is True

Keywords: Graph of equations

Learn more about Graph of equations at:

  • brainly.com/question/10879401
  • brainly.com/question/7490805
  • brainly.com/question/11150876

#learnwithBrainly

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It is given that<br> H=(x:x
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Answer:

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