Answer the following questions for the function = x/x² +9 defined on the interval –7 < x < 7. f(x) is concave down on the interval x = to x = f(x) is concave up on the interval x = to x = The inflection point for this function is at x = The minimum for this function occurs at x = The maximum for this function occurs at x

Q: A function f(t)= 5x + 8x^-1 has one local minimum and one local maximum what is the function has a…

A: Given query is to find the local maximum and the minimum for the function f(x).

Q: 53. Is the function given by Sx + 1, for x << 4, f(x) -x + 7, for x 2 4, continuous at x = 4? Why or…

A: Given a function, f(x)=x2+1,      for x&lt;4-x+7,     for x≥4 To find whether the function is…

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Q: consider the function f(x)= xe-4x,t) , 0≤x≤2. and an absolute maximum value equal to:  which is…

A: Given: fx=xe-4x, 0≤x≤2

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A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: 5. Show that the function f(x)= 3x-9 is not differentiable at x=3. Find the formula for f'(x).

A: To Prove: Show that, given function is not differentiable at x = 3.…

Q: The absolute maximum of f(x) = 3 x3 -2x On [-1,8] is y= OA 0. OB 5 OD A-

A: For Maximum value of f we need to get the respective value of x by differentiating the function and…

Q: Consider the following function. f(x) = 5x +- (a) Find the critical numbers of f. (Enter your…

A: Function given is - f(x)=5x+1x Differentiate with respect to x- f'(x)=5-1x2  [since ddx1x=-1x2]a) To…

Q: NOW IT'S YOUR TURN ! Find the critical points of the following functions : 1) f ( x ) = -3 x3 + x 3)…

A: f(x)=-3x13+xfirst differentiate both sides with respect to xf'(x)=-3×13x13-1+1f'(x)=-x-23+1for…

Q: 2. For each of the following statements, determine if they are true or false. In either situation,…

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Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: 2. For each of the following statements, determine if they are true or false. In either situation,…

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Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥…

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Q: 3. Iff has a local maximum at x – 1, then what can you say about f'(1)? What if you also know that f…

A: Given: The function fx has a local maximum at x=1. First derivative test: Let f be differentiable…

Q: We want to study the following function on the interval I = [-2; +∞| 3x2 + 4x + 3 g(x) = x² +1 a)…

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Q: Let f be the function given by f(x)=x3−5x2+3x+k , where k is a constant. 3. On what intervals is f…

A: Here we will find the above solution.  Increasing ,  f'(x) &gt;0  ...

Q: Answer the following questions for the function f(x) = x/x² + 9 defined on the interval – 5 < x < 4.…

A: Given the functionf(x)=xx2+9

Q: Determine the given function a relative maximum, a relative minimum, whether or neitter at the given…

A: fx=x4-4x+25 Differentiating with respect to x, we get…

Q: f(z) = z2

A: We have to show the given function is not analytic at any point.

Q: for x 2 - X Is differentiable at x = 2 but not at x = 1.

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Q: 2. For each of the following statements, determine if they are true or false. In either situation,…

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Q: For the following problems, draw graphs of f (x), which is continuous, over the interval [-4, 4]…

A: The function fx is continuous on the interval -4,4 and has absolute maximum at x=2 and has absolute…

Q: Find the absolute minimum of the function f(x)= = 02 GW/N 0.3 4 O 1 0-2 01 2 2x x2 +4 on the…

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Q: 4. If f has a local minimum at x = 0 and a local maximum at x – 2, what can you say about f'(0) and…

A: f has a local minimum at x=0 and a local maximum at x=2.

Q: Show analytically that the function f is not differentiable at x = 0. Ax) = 2x+1 x>1

A:

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: For the following problems, draw graphs of f(x), which is continuous, over the interval [−4,4] with…

A: We have bto first define all maxima and minima.

Q: Given the function g(x) = 8x° - 84x + 288x, find the first derivative, g'(x). g'(x) = Notice that…

A:

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: Show that the function is discontinuous on R. f(x) = { 1; 0; for x € Q for a Q

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Q: Suppose we know that f(x) is continuous and differentiable on the interval [1, 9], that f(9) = 0 and…

A: Given, f(x) is continuous and Diferentiable on interval [1,9] f(9)=0 and f'(x)≥8 We have to find :-…

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

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Q: for what value of x does the function f(x)=x^3-3x^2 attain absolute maximum in the internval (-1,4)

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Q: If f has a local minimum at x = 0 and a local maximum at x = 2, what can you say about f'(0) and…

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Q: We want to study the following function on the interval I = [−2; + ∞[ g(x) = 3x2+4x+3/x2+1 a)…

A: Given: g(x)=3x2+4x+3x2+1  To find: a) Derivative and critical point of g. b) limx→+∞g(x) c)…

Q: For – 10 < x < 12 the function f is defined by f(x) = x°(x + 3)° On which two intervals is the…

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Q: Consider the following function. f(x) = (x + 4)2/3 (a) Find the critical numbers of f. (Enter your…

A: Given f(x) = (x + 4)^2/3 Therefore, f’(x) = 2/3(x + 4)^-(1/3) (a) f’(x) = 0 2/3(x + 4)^-(1/3) = 0 x…

Q: Find all critical points for the function f(x)= x²e!-2¤. %3D

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Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = −x3 + 3x + 7 on the…

A: We find critical points by setting f'(x)=0 x=1 is not in the interval [-2,0]

Q: the derivative of the function. g '(x)       Find any critical numbers of the function. (Enter your…

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Q: Consider the following function. S 3x + 1, xs -1 (x2 - 3, x > -1 f(x) = (a) Find the critical…

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Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: Find all points c satisfying the conditions of the MVT for the function f(x)=x3−x in the interval…

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Q: Find the absolute maximum and minimum values of f(x) = (x² + x)i over the interval [-3, 4]. absolute…

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

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Q: For the function y =f(x), it was found out that f(c) = 0. What can be said that x=c ? critical point…

A: topic - functions

Q: 2. For which of the following functions and domains does the Extreme Value Theorem guarantee the…

A: The Extreme value theorem states that if a function is continuous on a closed interval [a,b], then…

Q: Find the value of k that makes function continuous at I = 4 2x + 8 x > 4 f(x) = 4x k r< 4

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

Q: Answer the following questions for the function f(x) = x/“ + 4 defined on the interval – 4 < x < 5.…

A: We will solve all the values.