5. During which intervals of x is the graph of the function f(x) = - (x + 3) (x + 5) (x – 1) below the x-axis2

Q: 1) Find the absolute extremum values of f(x) = x² - 3x + 12 over the interval 1, 3]. -

A: The extreme value of function at f(3)= 30

Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 20 over the interval [1, 3]. [2 - marks]

A: We have to find the absolute extremum values of the given function.

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

A:

Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x+5 interval [0, 3]. on the

A: The function is given by fx = x3-12x+5 To evaluate : The absolute maximum and the absolute minimum…

Q: 2. Find the absolute maximum and absolute minimum value of f(x) = 6x – x on [1, 7].

A: Given function fx=6x-x2 To find the absolute maximum and minimum first find critical values.…

Q: 4. Given f"(x) 2x(x²-3) 2+1) find all intervals of concavity and x-values of any inflection points.

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Q: 11) Find the absolute maximum and minimum indicated interval. x² -x+1 -2 f(x) = x³ +

A: Given query is to find absolute minimum and maximum for f(x) in the given interval.

Q: Use a graph below of f(x) = 3e-5z to estimate the x-values of any critical points and inflection…

A:

Q: 3 Show that the function f(x) = - 2x + 5x has no relative extreme points. Relative extreme points…

A: Consider the function fx=13x3−2x2+5x Differentiate fx=13x3−2x2+5x with respect to x…

Q: 2. Find all values k that make this function continuous at x = 3. Зх — 9 - if x > 3 f(x) = x² – 3x…

A:

Q: Find the value of x at which the absolute maximum occurs (if it exists) for the function f(x) = -x2…

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Q: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

A:

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

A:

Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x +5 on the interval [0, 3].

A:

Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: when x # 1 Show that f(x)% = 2 when x =1 is discontinuous at x 1

A: Given query is to find the continuity of the function at x = 1.

Q: 5. [ 4 ifx2 Show that f(x) = is not differentiable at x = 2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3) State the critical points of the function g(x) = (x – 9) 23

A: A critical point occurs when the derivative is 0 or undefined.

Q: 2. Find the absolute maximum and minimum values of f(x)= x³ – 3x +1 over the interval [0, 3].

A:

Q: (3) Find the absolute maximum and minimum values of f(x) = x³ – 3x – 1 on the interval [0,3).

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Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

A:

Q: The interval where  f(x) = )=(√x+2) / x2 - 2x - 8 is continuous is ?

A:

Q: 2 Show that the function f(x) = x-4x + 10x has no relative extreme points. 3X Relative extreme…

A: Given, Function: f(x) = 23x3-4x2+10x Differentiate f(x) with respect to x, we get: f'(x) = df(x)dx…

Q: Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which…

A: Label the points on the given graph as shown below.

Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: 2. Use the Closed Interval Method to find the absolute/relative extreme values of the function f (x)…

A: Solve the following

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

A:

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

A:

Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x&lt;1x-1           x≥1

Q: 1) Find the absolute maximum and absolute minimum for f(x) = x* – 18x² – 2 on the closed interval…

A: To find absolute maxima and absolute minima for fx=x4-18x2-2;     x∈-2,4

Q: 11. Suppose that f(x) is differentiable everywhere and we know that f(-4) f'(x) > 6 for all x. = -2…

A: Given, fx is differentiable everywhere. f-4=-2 f'x≥6, for all x dydx≥6, for all x  dy≥6dx…

Q: Determine all critical points for the function. f(x) = (x - 4)³

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Q: 1 - X 0 3

A:

Q: Determine any critical point(s) for the function f(x)=  -3 / x2 - 9

A:

Q: (i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points…

A: To solve the problems

Q: 3/ Find the critical numbers of the function f(x)= x/5 (4-x)

A: The given function f(x)=x354-x

Q: 11. Find the absolute minimum and maximum of f(x) = x³ – 4x2 – 3x + 3 on the interval [0, 4].…

A: Given: fx=x3-4x2-3x+3; x∈0,4 for finding absolute minimum and maximum of given function, we draw…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We use the quotient rule, product rule, and chain rule of differentiation to check the claim of the…

Q: 8) State the critical points of the function k(x) = x2 In x2.

A: Given,          The function kx=x2lnx2

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: Find the absolute maximum and absolute minimum values of f(x) = 3x^4 +4x^3 −12x^2 +1 on the given…

A:

Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

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

A:

Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

A:

Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

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Q: 11. Determine the absolute extreme values of f(x) = xe-/2 = xel-/2 on the interval [0, 5].

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Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval