Find the intervals in which the function -x²-3x+2 3 is increasing, f(x) %3D decreasing. Also find the local extreme values and point of inflexion. Discuss it's concavity.

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=6-xx

Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: Find the value of b that gives the function the maximum value of 19. f(x)=-x^2+bx+3

A: At the point of maximum the first derivative of the function becomes zero and the second derivative…

Q: Find the maximum or minimum value of the function. f(x) = 7 − 8x − x2 Is this a maximum or…

A: f(x)=7-8x-x2Differentiate with respect to xf'(x)=-8-2xf'(x)=0-8-2x=0x=-4f''(x)=-2<0x=-4 is…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 6x4 −…

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Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: Find the absolute extreme values of the function on the interval. F(x) = Vx, -27sxs8

A: We will first differentiate the function to find the critical points.

Q: Find the open intervals on which the function is increasing or decreasing.     g(x) = x2 − 2x − 8

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Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: Find the points of inflection and discuss the concavity of the graph of the function.

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Q: Find the critical point of the function f(x) = 3x² – 12x Answer:

A: We will find out all the required values.

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: fx=x3-9x2   To Find: the points of inflection and discuss the concavity of the graph of the…

Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

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Q: Find the open intervals on which the function, fx) = 12x – x°, is increasing or decreasing.

A: We have to find the open intervals on which the function f(x)=12x-x3 is increasing or decreasing .

Q: Investigate for maxima and minima the function $(x)=[{2(--1)(t–2) +(»-1°(r-2)"}at |

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Q: y = x42x³

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Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the following:  Find first and second derivative:…

Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

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Q: Find the all maximum and minimum values of the function f(x) = 4x3 – 6x2 + 8, given the domain…

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 3x −…

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Q: Find the intervals of increasing/decreasing of the function and also find the local maxima and local…

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Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=x+3x points follows f'(x)=0 is inflection point…

Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: We have to find Absolute Maximum in the interval [-1,4] by Second Derivative Test.

Q: Find all values of x, if any, where the function f(x) = x5 - 5x3 - 20x - 2 has local maximum and…

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Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is:  (i) increasing on an interval (a, b) if f'(x)>0 for all elements of a, b.…

Q: Find the intervals of increase and decrease for the given function. f (x) = 3x5 - 20x³ - 5

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Q: A housing complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting…

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Q: 5. Find all relative maxima of the given function. y =x* -8x' +16x² +3

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Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2(x +…

A: Given f(x)=x2(x+2)3 differentiate the function to find the critical points.…

Q: By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given…

A: From the given problem:   hx=x2-1x∈-4,5   Now differentiate the given function with respect to x and…

Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: Find the point of given function f(x)If f(x)=3x*-4x³+6. Find the maxima and minima of the given…

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Q: Find the absolute maximum value of the function f(x) = 5(x - e

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Q: Find the range of values x for which the function f(x) = 4x³ – 12x2 + 15 is decreasing. a)

A: To find the range of values of x for which f(x) is decreasing

Q: Find the value of the maximum or minimum limit of the function ** 8 - 4x2 + 1 f(x) Then write the…

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Q: Determine the intervals in which the function: F( x) = x* – 4x³ +9 It is increasing and decreasing

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x)=6x4-x2

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Q: 3. Find the value of the function: If f(x) = 3x - 4x2 + 3x +4, find f(-3). %3D f(-3) =

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Q: 3. f(x)= x² + 3

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Q: 13) Given f(x) = 7x² – 4x – 2, without graphing, determine whether it has a maximum value or minimum…

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Q: Consider the function f(x)=2sinx+3. Which graph represents the solution set of f(x)

A: Given: fx=2sinx+3 To find: Solution set of fx.

Q: Find the absolute extreme values of the function on the interval.                        g(x) = -x2…

A: given: gx=-x2+11x-305≤x≤6

Q: Find the points on the graph of the function that are closest to the given point. flx) = x2 - 6 -3)

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Q: Find the value of b that gives the function the given maximum value.f (x) = -x2 + bx + 2; maximum…

A: Consider the function  Maximum value=6

Q: If f(x)=- +60, then what is the set of x values for which f has a relative maximum?

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Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

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Q: The function f(x)=-4x3-30x2+72x-6  is increasing on the interval ( ?, ?) It is decreasing on the…

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Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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