4х+7 (ii) If f(x)={ 1

Q: The function f(x) =3 x4-4 x3-12 x2+1, is increasing on the interval

A: f(x) = 3x4-4x3-12x2+1f'(x) = 12x3-12x2-24xf'(x) = 12x(x2-x-2)f'(x) = 12x(x2-2x+x-2)f'(x) =…

Q: Identify the absolute minimum of f(x)=2x2 +x+1 over [−2,3].

A: The given function is f(x) =2x^2+x+1 over the [-2,3].

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: (4.1) Find the absolute extrema of the function f (x) = 2x3 -9x2 - 24x-2 on the interval [-2,0]. [2…

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Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Find intervals where f is increasing/decreasing f(x)=x3+3x2-9x-12

A: Given function

Q: Suppose we know that f(x) is continuous and differentiable on the interval [-8, 0], that f(-8) = -9,…

A: Given data: The value of function is, f(-8)=-9 The value of differentiating function  f(x)≤2

Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. Find the absolute maximum and absolute minimum values of f(x) = 2x´ - 4ln(x) on the | interval […

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Q: Explain why the function f(x)=xe^(-x^2) has an absolute maximum and minimum on the interval [−2, 2].

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Q: Discuss the continuity of the function on the closed interval.

A: Given: f(x)=x2-1x+1 The function is continuous at a point if the function returns a unique value…

Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: Use second derivative test, If x3 f(x) = 25x + 5 then f(x) has a 3 local maximum at the point x = -3…

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Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

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Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: Find the absolute maximum and minimum (if any) of the function, f(x)=3x'-5x' on interval -2,0|

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Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: The absolute minimum value of  f(x) = (x3/3) - ( 5x2/2) - 6x  on [-1,3] is?

A: fx=x33-5x22-6x,   -1, 3 Differentiating with respect to x, we get f'x=133x2-522x-61=x2-5x-6 Now to…

Q: Consider the function f(x) = 2x° + 9x² – 108x +1 with - 6 <x < 4 | This function has an absolute…

A: Given, f(x) = 2x3 + 9x2 - 108x + 1  Plot the function on the interval -6&lt;= x &lt;= 4. For solving…

Q: Find the greatest and least values of f(x) =x' –- 3x² +1 on the interval of [-3,2]

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Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 3 f(x) = 4 + 12x…

A: Given function is f(x)=4+12x+3x2, x&gt;0 Differentiate f(x) with respect to x. f'(x)=12-6x3

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: . Find the maximum and minimum values of f(x)= x*-3 x-1 on [-2,2].

A: fx =x4-3x3-1 , -2,2 first find critical point of given function  f'x =4x3-9x2 Now set first…

Q: Suppose we know that f(x) is continuous and differentiable on the interval [-7,0], that f(-7) = -3…

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Q: Find the absolute minimum and absolute maximum values of f on the given Interval. f(x) = In(x2 + 3x…

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Q: Find the relative maximum / minimum values of the function x- 2 f(x) = x+2 State where the function…

A: Given that, the function is fx=x-2x+2. Differentiate the function fx=x-2x+2 with respect to x as…

Q: What is the absolute maximum and minimum value of f(x)= x^2-1 on [-1,6)

A: The given function is f(x)=x2-1 and the interval is [-1,6)

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b)…

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Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: 5. Use the second derivative test to determine whether f (x) = x3 – 9x2 + 24x +5 has a local maximum…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x3 - 6x2 +…

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Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

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Q: 2. Find the absolute maximum and absolute minimum values of function on the given interval. f(x) = 5…

A: Given:Given that function f(x)=5+54x-2x3The given interval is [0,4]To find:we have to…

Q: Discuss the continuity of the function f(x) = {x^2 - 3x         if x &lt; 2           {2x + 4…

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Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A: Given,        fx=x2-3x+8

Q: Find the absolute maximum and minimum values of function f(x)=x2+6x−5 on interval [-5,2]. If an…

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Q: 12) Find the coordinates of the absolute maximum and absolute minimum of f(x) = x^3 + 3x^2 - 9x +3…

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Q: How do I find th end behavior of f(x)=-(x+1)^(2)+4

A: f(x) = -(x+1)2+4 =-x2-2x-1+4=-x2-2x+3

Q: [6 – 2x, \x² - 8, xS 3 x > 3 f(x) Where are the intervals where the function is continuous? Are…

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Q: How should the function f(x)=x²-25/x+5 be defined at -5 to make it continuous at -5?

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Q: 1) Find the absolute maximum and absolute minimum for f(x) = x-3x-2 on the closed interval [-2, 11.

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Q: Investigate the connections between key properties such as increasing/decreasing intervals, local…

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Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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