Function f(x) is positive when 1

Q: 1.) Determine the largest interval over which the function flx) = \x+3 is continuous. 2x 2.)…

A:

Q: 2) Consider the function g(x) = x3 + 3x2 – 9x + 2 on the interval [-4,2]. Find all local extrema,…

A: According to our company policy we can only answer the first question and rest of the questions can…

Q: Find the absolute maximum and minimum of f (x)=x* – 2x -x - 4x +3 on the closed interval [0, 4]. а.…

A: fx=x4-2x3-x2-4x+3 Differentiating wrt x, we get  f'x=4x3-6x2-2x-4 Putting f'x=0, we get…

Q: f(x)= 1/4x4 - 9/2x2 +3   According to Fermat's theorem, this function has critical points at what…

A: Fermat's theorem states that if f(x) has a local extremum at a point and is differentiable at that…

Q: the function f(x) = (2x – 3)5. Discuss the ability at x = erentiability at x = 0 and x = 1 for the…

A: We have to check continuity and differentiability of the given function according to the given…

Q: 8 2. Find the absolute extrema, if they exist, as well as where they occur for f(x) = 2x + + 1, x >…

A: Given function  f(x) = 2x + 8/x2 + 1      , x>0  To find the absolute extrema, let's find the…

Q: . For the function f(x)=x 4 -5x 3 -9x 2 +2x+1determine the intervals of concavity and inflection…

A: f(x)=x 4 -5x 3 -9x 2 +2x+1

Q: 2) Consider the function g(x) = x³ + 3x2 - 9x + 2 on the interval [-4,2]. Find all local extrema,…

A:

Q: 1. f(x) = 2x + 3x2 -36x %3D 2. f(x) = x³- 3x + 3 %3D

A:

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: Given function is

Q: 4. At x = 4, the function f(x): (x², x ≤ 4₁ = is (4x, x>4 A. continuous but not differentiable B.…

A:

Q: the area of the region between the x-axis and the graph of the functionshern X = 2 X=1 below and the…

A:

Q: Find the absolute maximum and minimum values ​​of f (x) = x ^ 3 -3x ^ 2 + 1 on the interval [-1 /

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: The critical values of f (x) =4x³– 4&x + 24 are x=- 2 and x=2. Determine which of the critical…

A:

Q: f(x) = (x – 3)², defined on 0 < x < 5 Find the absolute maximum and absolute minimum of f(x) on the…

A:

Q: 6. Find the absolute extrema of the function on the closed interval given: f(x) = 2x/2 – x; [ –2,1]

A: Pue derivative zero, if value lie in interval then put in function for maxima and minima

Q: The graph of ƒ(x) has the following properties: f(x) is increasing when x 1; f(x) is decreasing on…

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: We have to find critical numbers of a given function.

Q: 2 For the f(x)=2x² - 4x² defined -2≤x≤3 on the interval A. Find all critical points B. Find absolute…

A:

Q: 2 The function defined by f(x)= x-3x for all real numbers x has a relative maximum at x = %3D

A:

Q: Two functions are defined as follows: f(x)=7-2x² and g(x)=x²+4 (a) Use ANY graphing tool to…

A: Here We have to find the point of intersection of the two curves.

Q: 4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find…

A:

Q: Determine the area, in square units, bounded above by f(x)=−x^2−8x and g(x)=3x+24 and bounded below…

A: Given that  fx=−x2−8xgx=3x+24 To find the area bounded above by f(x)

Q: 7) Find the absolute maximum of the function f on (0,0) f(x) =10xe2* %3D

A:

Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: Given that limx→∞ x2+1x+1. Compute the limit as follows.

Q: find the exact location of all the relative and absolute extrema of the given function: g(x)= 2x^3…

A:

Q: onsider f(x) =x³ – 6x²+ 9x + 3 defined on the closed interval At which value of x -- 1 oes the…

A:

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: True or False. If f(x) is a differentiable function such that f '(-1) = 0, then f(x) either has a…

A: we have to tell that statement is true or false. If f(x) is a differentiable function such that f…

Q: f(x) = 3x° – 45x³ %3D Enter the critical points in increasing order. There are critical points at x…

A:

Q: The function y must be strictly decreasing on any The function y must be equal to 0 on any interval…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the x - values of the extrema of the function f(x) = 3x3 – x over the interval 3'3 (A) No…

A:

Q: 4. For the function f (x) find the local and/or r2 +1 absolute extrema over its domain.

A:

Q: Find the x - values of the extrema of the function f(x) = 3x³ – x over the interval 3'3 1 absolute…

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−2,…

A:

Q: Find the absolute maximum and minimum of

A:

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

A:

Q: The function f(x) = -2x + 0x² + 150x + 3 is increasing on the interval ( ). It is decreasing on the…

A:

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

A:

Q: The function f(x) = – 4x* + 6.24x² + 53.784x + 1.62 is increasing on the open interval ( It is…

A:

Q: Find the absolute extrema of the function on the closed interval.                       g(x) = ∣x +…

A: Consider the given function, gx=x+4 over the interval -7, 1 differentiating the above function we…

Q: Find the absolute maximum and absolute minimum of the function f(x)=x^3-18x^2+96x+150 on the…

A: The function is given by fx = x3-18x2+96x+150 To evaluate: The absolute maximum and minimum of the…

Q: 1. Consider the shaded area below the graph of the function y = x² + 1, above the x-axis and between…

A: Area estimation using Left end point rectangles: Left hand Riemann Sum:…

Q: The absolute minimum value of the function f(x) = 4x² - [0, 5] 8x +1 over the interval 2 135x – 81…

A:

Q: p3 – 4x2 (x + 2)² ’ x(x+8)(x – 2) (x + 2)³ 8(7x – 4) (x + 2)4 - - - f(x) = with f'(x) = and f"(x) =…

A:

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

A:

Q: Find the absolute maximum and minimum of the function f(x)=x^3-9x^2+15x+42 on the interval 0 is less…

A:

Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: x³ – 4x² (x + 2)² ' x(x +8)(x – 2) (x + 3)ª 8(7x – 4) (x + 2)* Given: f (x) ,with f'(x) = ,and f"(x)…

A: The critical number of a function f is the point where the first derivative of the function is equal…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: