Question

Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives. y = 2x^2 - 24x - 3 What are the coordinates of the relative maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no maximum

          Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives.
y = 2x^2 - 24x - 3
What are the coordinates of the relative maxima?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. 
(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. There is no maximum
        
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Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives.
y = 2x^2 - 24x - 3
What are the coordinates of the relative maxima?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. 
(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. There is no maximum

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives y = -2x^2 - 24x - 3. What are the coordinates of the relative maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Specify your answer: Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. B. There is no maximum.
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Transcript

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00:01 Here we're given a function and we want to identify, well, all the details about it.
00:04 So let's start off with f of x which is equal to 14x to the fourth minus 84x squared.
00:11 Now let's start off by finding where it says increasing and decreasing and max and mins.
00:15 So the derivative then will tell us our critical points.
00:18 So let's take 14 times 4 which is 56 x cubed minus 84 times 2 which is 168 x.
00:27 We need to set that equal to zero to find our critical points.
00:30 I can factor out an x and i'm left with 56 x squared minus 168.
00:36 So that means that x equals zero is a critical point.
00:39 Also 168 divided by 56 is 3.
00:43 So we have plus or minus the square root of 3 as critical points as well...
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