The f(x) is both decreasing and concave up on which of the following intervals? O (1, 00) only ㅇ (-8,-1) U (1, 00) only -1,,)U U (1, 00) (-0, –1) U (G.1) Drector

Q: 6.) Use the limit definition of the derivative to find f' (x), given f(x)=x-3 x+5

A: Consider the function

Q: O Find the intervals where f (x)= x -x* is increasing/ decreasing and concave up /down.

A:

Q: For which interval is the function f(x)=x√√4-x² continuous O (-∞, -4] and [4, ∞) O (-∞, -2] and [2,…

A:

Q: (b) Verify Mean Value Theorem for f(x)= 3x2-6x -5 over the interval[-1,4].

A:

Q: 13. Find the end behavior for f(x) =x- 2 A. x- +0, f(x) - +o x--o, f(x) → - B. x +o, f(x) - +0 x--o,…

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

Q: 4 if x3 to define f at x = -2 in such a way that f becomes continuous nossible what ie the velue of…

A: We have to find the following conditions according to the given information

Q: ,x5 (A) 5 (B -4 6 3 (E) none of the given choices

A: Given that, The function f(x) is following, f(x)=x-4,x≤5kx2-24x+46,x>5 We have to find the value…

Q: Suppose that the increasing function ƒ(x) is smooth for x >= 0 and that ƒ(0) = a. Let s(x) denote…

A: Given information:

Q: Compute the derivative of f (x) = x3/2 using the limit definition. Hint: Show that

A: we have;  f(x)=x32

Q: Q4: Use the limit definition to compute the derivative, f(x), for 2.F(x) = Vx³ – x

A:

Q: _25. Determine if f (x) = {"" (2x – 1 if x 5 is continuous on [2,5]. A. discontinuous on an…

A:

Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

A:

Q: The function In x f (x) = x2 is Select one: increasing on the interval (-o, -) and decreasing on (5,…

A: fx=lnxx2 The domain of given function is 0, ∞. Differentiating with respect to x, we get…

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

A: Given: f(x)=x29-x2 To Find: Intervals of increasing and decreasing on (-3,3). Concept: (a). if…

Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

A:

Q: (b) Verify Mean Value Theorem for f(x)= 3x² – 7x – 4 over the interval[–1,4] .

A: Given: fx=3x2-7x-4

Q: If f(x) < 0 for all real numbers x then f is decreasing on (-o, 00).

A: Proceed as shown below

Q: 3. Determine the x interval(s) on which the function is increasing.

A: From the given Figure, it is observed that the graph of function has local maximum at x=-4  and…

Q: Q4: Use the limit definition to compute the derivative, f(x), for 2 1.F(x) = xi

A:

Q: Is the function f(x) : 1 continuous or discontinuous on [2,+∞)? Vx - 2 Is the function f(x) : 1…

A:

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1&lt;x2 then fx1&gt;fx2 claim- is it decreasing or increasing

Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: 57. Compute the derivative of f(x) = x3/2 using the limit definition. Hint: Show that f(x +h) – f(x)…

A: To show that the derivative of the given function by using limit definition is

Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

A:

Q: and the domain of the function using interval notation. To enter ∞o, type infinity. To enter U, type…

A: We can solve this as follows:

Q: -7 if x 2. Sketch the graph of the function and use the limit definition of the derivative to show…

A:

Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

A:

Q: determine the points of discountinuty of the function f(x)=(-x)2 andnature of discountunuity at each…

A: To determine the points of discontinuity.

Q: (c) For what values of a and b does the function (ах— 3, x 4 satisfies the conditions of the…

A: Function  To find the values of a and b for which f(x) satisfies the conditions of the Mean-Value…

Q: The second derivative has already been found and factored to be f"(x) = (5x)(x+2). Use interval…

A:

Q: (b). Find the bound for absolute error at x = 2.9 on the interval [x, x,], where x, = 2.25, x, =…

A: On the interval x0,xn where x0=2.25, x1=2.5, x2=2.75, x3=3 with n=3 along with the function…

Q: Compute f'(3) using the limit definition of derivative if f

A: Given: f(x)=6x2f'(3)

Q: We are interested in the functionf, but we only have the graph of its derivative f, given below. 30…

A: Given query is to find the correct statement .

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

A:

Q: 8- When f(x)-x' the value of error of Simpson's rule becomes .........

A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, -1)…

A: Given query is to find the interval where function is concave up and down.

Q: (b) Verify mean value theorem for f(x)=x² - 5x+6 over the interval [1,3].

A:

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.

Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: 1. Let f(x) = 2 %3D Use the limit definition of the derivative to compute f'(-1). X+3

A:

Q: +4イ find the cyitical Points of fCks and the intervals on which the function is increasing de…

A:

Q: 14. Find the end behavior for f(x) = -x - 4 A. x- +o, f(x) +0 x--o, f(x) - +0 B. x- +o, f(x)-0 x-…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Q20: . Suppose that f(x) is continuous and differentiable on the interval [0,6], that f(6) = -7 and…

A: Given that the function “f (x)” is continuous and differentiable on the interval [0, 6] that, f (6)…

Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: Suppose that ƒ is a continuous and differentiable function s 2000 and that f'(x) > 7 for all x. What…

A: Lagrange's means value theorem: -Let f: [a, b] R be a continuous function on [a, b] and…

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- y…

A: