Find the intervals of concavity and the inflection points for g(x)=x^4-54x^2+12x-4

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = 4x/16 -…

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Q: Find the critical values, inflection, maximum and minimum points of the function. Also, provide a…

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Q: Find any local maximum & local minimum  of f(x)=-0.4x3-0.6x2+3x-4 on the interval (-6,4)

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Q: Use a graph to estimate the critical numbers of f(x)  =|x3 - 3x2 +2 |correct to one decimal place.

A: We graph f(x)  =|x3 - 3x2 +2 | using a garphing calculator

Q: Describe the intervals on which the function is continuous

A: Explanation: Given that,  f(x)=4x2+7x-2x+2     Concept Used: A function is always continuous if…

Q: Explain how to find the critical numbers of a function.

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=4−67xf(x)=4-67x, and the line…

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Q: Estimate and classify the critical points for the graph of the function. 4. -4 2

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

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

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Q: Find the absolute maximum and the absolute minimumof5 interval-S3. 5--4-3- ^ on the 5433 on the

A: We have to find absolute maximum and minmum value of f(x) in given interval [-2,3]Function is shown…

Q: f (x) = x4 – 2x² + 3

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the absolute maximum value of y=sqrt(16-x2) on the interval [-6,6]

A: y=16-x2         -6,6y=16-x212ddxy=1216-x212-1.0-2xdydx=12-2x16-x212dydx=-xx116-x2Now , dydx=0…

Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line…

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Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least…

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3,…

Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

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Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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Q: Use a graphing utility to approximate (rounded to two decimalplaces) the local maximum value and…

A: Given: fx=x3-2x2-4x+5; -3<x<3 For finding values of local maxima and local minima, we draw…

Q: Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative…

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Q: Use the second derivative test (is possible) to find the relative extrema of f(x) = 3x^4 - 8x^3 +…

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Q: Determine all critical values for the function f(x)=20x3-3x5   y=4x2-128sqaurerootx

A: Part (a):Consider the given function.

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=3−16xf(x)=3-16x, and the line…

A: GIVEN DATA: Triangle is bounded by the equation of line fx=3-16x                         line…

Q: Express the inequalities xs 3 and -1sx< 4 in interval notation.

A: x≤3 and -1≤x&lt;4 The first inequality means x values less then and equal to 3. For equal to sign…

Q: Give five examples of the use of extreme value theorem in real life.

A: Examples of the use of extreme value theorem in real life.

Q: Find the points on the graph of f(x) = 6x – 2x³ where the tangent line is horizontal. (Use symbolic…

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Q: 3. Determine the intervals of concave upward and downward, points of inflection, critical nu bers,…

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Q: . Find the local and absolute minima and maxima for the function over (-∞, ∞). 3 y = x³ (1-x)6

A: Given, y=x31-x6

Q: 5.f (x) = x2 – 8x + 4

A: the given function is: fx=x2-8x+4 we have to find the critical values, inflection, maximum and…

Q: find the intervals on which f(x) is increasing and decreasing. then sketch the graph. f(x) = 7 --…

A: We use first derivative to find out where function increasing or decreasing  when f'(x)&lt;0 then…

Q: determine the local extremum point

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. = 9 + 81x – 3x³,…

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−13xf(x)=7-13x, and the line…

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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: Find the critical values, inflection, maximum and minimum points of the function. Also, provide a…

A: The given function is fx=x2-8x+4.

Q: Find the critical numbers and determine whether they yield relative maxima, relative minima, or…

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Q: How to find stationary points for f(x) = x^2-6x^2+9x and their local max or local min

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Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x² –…

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Q: 3x2 If (x) = x² + 1

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

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Q: Find the critical numbers and determine whether they yield relative maxima, relative minima, or…

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Q: = -3x^2 + 10x on the interval [1, 3] occur. Absolute maximum occurs at x = Absolute minimum occurs…

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Q: the absolute minimum of f(x) = −x3 − 14x2 − 60x − 75 on interval [−7, −5]?

A: To find: The absolute minimum of fx=-x3-14x2-60x-75 in interval -7,-5. Calculation: The derivative…

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A: Consider the given function: fx=x2x2+4 Differentiate the function with respect to x:…

Q: Find the maximum and minimum values of the function y=4x^(3)−4x+6 on the interval [0,2]. (Use…

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Q: Find the asymptotes, intervals of increase, decrease, concave upward, concave downward, local max,…

A: f(x)=x+1-xf'(x)=1-121-xfor increasing ,f'(x)≥0⇒1-121-x≥0⇒121-x≤1⇒1-x≥12⇒1-x≥14⇒x≤34intervals for…

Q: By the definition show that f(x) = 2 + |x| is a continuous graph at the origin. Also, show the…

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Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: Given: fx=2x3-3x2-36x+12 on -∞,∞ To evaluate the critical points find x where f'x=0.…