2. Determine the intervals where f(x) is concave up, concave down, and any inflection points. f (x) = x* – 3x3+ 3x2 – x

Q: 4x² – 1 f(x) = 4. For which intervals is 2x2 – 3x – 2 continuous? What types of discontinuities are…

A: Given the function f(x) = 4x2-12x2-3x-2 To find the continuous on Intervals:- f(x) =…

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

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Q: 2) Determine the intervals where the following function is concave down and concave up: f(x) = x³ +…

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

Q: 15. Find the interval on which f(x) = x³ – 3x² – 144x – 140 is concave up and the interval on which…

A: Point of inflection is a  point where 2nd derivative of a function is 0.

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

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Q: Given that, f(x) = 2x3 - 3x2 - 12x + 1. F (a) the intervals on which f(x) is increasing

A: Given: f(x)=2x3-3x2-12x+1

Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

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Q: 9. Show that for f(x) = x° we have f"(0) = 0 but the point x = 0 is not an inflection point of f.

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Q: Find the intervals in which the function f(x)=x' – 3x² +4 is strictly increasing for all - хER.

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Q: 02: Let f(x)= x' – 7x+ 2, 0sxs1. 1. Show that f(x) has exactly one real root in the indicated…

A: Answer

Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: Find and classify the extreme values of f(x)=6x^4 - 4x^6 over the interval [-2,2]

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Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

Q: 10) Determine the intervals of continuity. (a) f(x) = -3r² + 5x – 8 (b) f(x) = x2 – 9 V3-x (c) f(x)…

A: Sketching the graph:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: Find all intervals on which f(x) is increasing. f(x) = x³ + 7x² + 15x + 45

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Q: Find the intervals of concavity and all inflection points   f(x)=e^(-2x^2+x)

A: We find the first and second derivative

Q: Consider the function g(x)= x'e 2 Determine the intervals of concavity of the function.

A: Given : Function gx = x2 e12x   To find : Interval of concavity for the given function?

Q: Find the intervals on which the function f(x)=x3+ax+b (where a,b are any real numbers) is convex…

A: Given function is firstly, we find f''(x)

Q: , for x 1 Let f(x) be a function de fined by f(x)3= Discuss the contuniuty of f andf".

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Q: 4. Find the intervals in which f (x) = x³ - 3 x + 1 is increasing or decreasing.

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Q: find the intervals on which f(x) is decreasing f(x) = 2x³ – 3x² – 36x

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Q: (b) Find the intervals in which the function f (x)=x* +6x' +6 is concave up/concave down. Also find…

A: When f''&gt;0 then function cancave up when f''&lt;0 then function cancave down

Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

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Q: 4. Find the intervals in which the function f(x) =x³ – 6x2 +9x +30 is concave up/concave down. Also…

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Q: (b) Find the intervals in which the function f (x) =x* – 4.x³ +2 is concave up/concave down. Also…

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Q: S(x) = 7x* – 1x* +2. | Use interval notation to indicate where f is continuous. Domain of…

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Q: 2. Locate the absolute extrema of f(x)=-5e¯* on the closed interval (-00,00).

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Q: Find the intervals on which the function f(x)=x4−6x2−6x+1 is convex upward and convex downward.

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

Q: Let f(x) = ax* + bx . If (1,6) is a relative extremum point, then b is?

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Q: Find the intervals on which .5 * .f(x)=x/(x^2+4) is increasing )2 نقطة( f (x) %D x²+4 (-∞, -2) (-∞,…

A: In this question, we will differentiate the given function with respect to x . Then we put it equal…

Q: Find the value of the constant ( a, b, or c) that makes the function continuous.

A: Given: fx=1x,x&lt;-1, x&gt;12ax+b,-1≤x≤12 if given function is continuous then limx→-1-fx=limx→-1+fx…

Q: Let f(x) = (2x+1)/(x+1)2. (g) Find the intervals of concavity of f, given that…

A: Apply the conditions for a graph  to be concave up or concave down.

Q: Find the absolute extrema of f (x) = x-12x on the closed interval [0, 4].

A: The given function is, fx=x3-12x The interval is 0, 4

Q: Locate the absolute extrema of the function f(x)=x'-12x on the closed interval [0, 3].

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Q: Can you please explain and solve this using the concept of limits? Our topic right now is all about…

A: Given : find the interval on which the following function is continuous.

Q: find the absolute extrema of f(x)= 4x^2-48ln(x) on the interval [.4, 5]

A: Given function is  f(x)=4x2-48ln(x) Differentiate both sides with respect to x. f'(x)=8x-48x Now,…

Q: What kind of discontinuity does f(x) = *-3 have at x = 2? X-2

A: A function is said to possess non-removable discontinuity if the limit of the function does not…

Q: (1) Find and classify the extreme values of f(x) =6x* -4x over the interval [-2,2].

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 2- Calculate the extremum point of below function and Classify it f(x) = 4 x3 + 2 v11 – x + x?

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Q: B. so, find f'(2). If not, explain why not. It can be shown that f is continuous at x = 2. Isf…

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Q: (b) Find the intervals in which the function f(x)=x* +4x'+7 is concave up/concave down. Also find…

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Q: 3. What value of k would make f (x) continuous at x = 3 ? 3.

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Q: Find and classify the extreme values of f(x)= 6x* –4x° over the interval [-2,2].

A: Given,  f(x)=6x4-4x6

Q: 3 b) Find values of x, if any, at which f is not continuous:f(x) =+2

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Q: On what intervals is the function f(x) = x-4r both decreasing and concave up? Write your answer in…

A: fx=x4-4x3 Differentiating with respect to x, we get f/x=4x3-43x2    ∵dxndx=n·xn-1=4x3-12x2 Again…

Q: Find the absolute extrema of the function on the closed interval.                   f(x) = 4x / (x2…

A: f(x)= 4xx2+9so,  f1(x)= 4(x2+9) - 4x(2x)(x2+9)2Now equ    f1(x)=0=                4(x2+9) -4 x(2x) =…