(3-x, xs1 Consider the function given by f (x) = Is the function continuous, %3D x -x+1, x>1 differentiable, neither, or both at x=1?

Q: The limit (5+h) – 25 lim h→0 h represents the derivative of some function f(x) at some number a.…

A: Given:  The limit limh→0 5+h2-25h represents the derivative of some function fx at some number a. To…

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) g(x) : 1.5 - X…

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Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any…

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Q: all relative extrema of the function. (If an answer does not exist, enter DNE. f(x) = x* - 4x + 2…

A: Given that: f(x)=x4-4x+2

Q: x - 2 Consider the function f(x) x - 4 Use the graphing utitlity to graph f. f(x) = 20 y + 10 -20…

A: fx=x-2x-4 here degree of numerator and degree of the denominator is equal so horizontal asymptote is…

Q: Find the absolute extrema of the function on the closed interval. find the minimum and maximum…

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Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: r+1 Graph the function y = by applying the first and second derivative tests. Also discuss the…

A: The given function isy=x+1x2+1 to find the graph of the given function wit apply the first…

Q: a2 - - 12 Consider the function f(x): %3D x+4 a. Find the first derivative. f'(x) = %3D b. List any…

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Q: unction fis given by f' (z) =-3z +4 for all z, and f(-1) = 6. Which of the following is an equation…

A: Given that the drivative of the function f isf'(x) = -3x+4  for all xand f(-1) = 6Now, f'(x)x = -1 =…

Q: 13. Approximate the local maximum values and local minimum values of f(x) = x³ – 5x + 1 on (-4, 4).…

A: Given: f(x)=x3-5x+1on the given interval (-4, 4)

Q: 6-x on the domain [0.2]. 2+x che function f(x) = %3D your choice.

A:

Q: 4. The graph of f(x)=x² – 6x² +2x+5 is given below. Sketch the line 2x- y=3 on the same graph and…

A: Consider the function fx=x3-6x2+2x+5 and the line 2x-y=3.   Sketch the line and function on the same…

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: To find the critical numbers, one has to find the derivative of the function and then set the…

Q: Find f′(x) for f(x) = √x. Then find the slopes of the graph of f at the points      (1, 1) and (4,…

A: We use the power rule

Q: 6. Consider the function f(x)= 2x3 - 6x2 – 18x+22. Use the Second Derivative Test to find the…

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Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: Function h is graphed. 4+ h 3- 1 -4 -3 -2 -1 1 2 3 4 -1- -2- -3 Find h(x) dx. h(x) dx = %3D నా ఈ 2)

A: Integration Question

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter…

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Q: 17-18 Find the local maximum and minimum values of f using 18. f(x) both the First and Second…

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Q: x - 2 Consider the function f(x) = x - 8 Use the graphing utitlity to graph f. f(x) = 20 y 10 -20…

A: Given that       f(x) = (x-2)/(x-8)

Q: = xe 10) Determine the absolute maximum and minimum for f(x) on the interval [0, 3].

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Q: The derivative of the function g(x) = In tdt 4z In(2z) 4ze -4z In(2z) -4ze None of above

A: we have to find the derivative for the function  g(x)=∫e2x3lntdt

Q: ind the critical points of the following function. Use the Second Derivative Test to determine (if…

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Q: x+6 At what points is the function y = continuous? %3D x- 9x + 18 Describe the set of x-values where…

A: We can find the required answer as below.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given,

Q: Q3-5. The function f has a local/relative minimum value when x = It has a local/relative maximum…

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Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) g(x) = x7 -…

A: Given:- g(x) = x7/7-x To find:- Relative extreme values of g(x)

Q: A function y = f(x) satisfies the implicit equation 2x3-9xy + 2y³ = 0. The graph contains the point…

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Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Solution:Givenf(x,y)=y2-2y cos x,          -1≤x≤7To find:Local maximum and local minimum values and…

Q: 2. Find the Global Extrema for f(x) = Bx4-Be(B-A)x. Use the second derivative to determine if those…

A: Here given function, fx=BxA-BeB-Ax .....1 or fx=AxC-DeD-Cx .....2 Substitute  A=6, B=5 in equation…

Q: Consider a continuous function y=f(X) whose first derivative is y'=x(x-2)

A: y=f(x) be a continuous function, whose derivative is y'=x(x-2)

Q: True or false ? If X, f Exi)

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Q: 8. (10 points) The value x = is a critical number of the function f(x) = x In(x), which has…

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Q: Find the location and values for any global extrema of the function f (x) = 1/3 x^3 - 4x^2+7x %3D on…

A: The function f(x)=13x3-4x2+7x on the interval [0,2]. We have to find the locations and values of the…

Q: x' x? Let the function f be defined as f(x) = 3 2 (a) Find the intervals on which f is increasing or…

A: Given that : f(x)= x3/3 - x2/2. Find intervals in which increases or decreases this function. And…

Q: 3. DETAILS HARMATHAP12 10.3.004. Find the absolute maxima and minima for f(x) on the interval [a,…

A: For all parts solution please repost again

Q: ェ-1 %3D the x-values at which f is not

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Q: help!

A: Given: the function

Q: (2, r+1, x+x-2 x-1 f (x) = k, x = 1, Find the value of k so that f (x) is a continuous function for…

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Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) g(x) .3 - X…

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Q: 2 - x Determine all points at which f(x) = is differentiable. Justify your answer 2r2 - 8

A: The graph of f(x) is shown below :

Q: x +1 Graph the function y = by applying the first and second derivative tests. Also discuss the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. Ke) = t/16 - 2,…

A: To find absolute maximum and minimum of f(t)=t16-t2  [-1,4].

Q: Find the exact location of all the relative and absolute extrema of the function. 16 16 g(x) x2 g…

A: The given function is gx=16x-16x2. Compute the critical points as follows.…

Q: (4-(x+ 4) x4 . Using a--1 a b- 4, sketch the graph of . Make sure you label all "jump" points and…

A: Given, f(x)=4-(x+4)2,           x<-1ax+b ,        -1≤x≤4x,                      x >4 where a…