Give an example that: the function f has a local maximum at x = 1/2, but it is not differen- tiable 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: Q #3: If f' (a) = 0, does that mean that a local maximum or a local minimum must exist at x = a on…

A: Given: If f' (a) = 0, does that mean that a local maximum or a local minimum must exist at x = a on…

Q: Sketch the graph of a function ƒ that has a local maximum valueat a point c where ƒ'(c) = 0.

A: If at x=c , there is a local maximum value, then x=c is a critical point. That means f'(c)=0 will be…

Q: A function f which has an absolute maximum and an absolute minimum should be continuous. Select one:…

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Q: (a) Sketch the graph of a function that has a local maximum at 4 and is differentiable at 4. y 2- 3-…

A: (a) First graph is the correct option. The function to be differentiable at x = 4, the graph should…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. (If an answer does…

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Q: Consider the function f(x) = 1 – 6x?, - 3 < x < 1. The absolute maximum value is and this occurs at…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + in the interval [1,…

A: Given : Function f(x) = x + 4/x Interval [1,8] To find :  Absolute maximum and Absolute minimum…

Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =5 +54x  -…

A: Absolute maximum or absolute minimum values of a function on the given interval exists at a point at…

Q: Determine the absolute maximum and minimum values and their location for the function g(x) = x over…

A: Given: To determine the absolute maximum and minimum values and their location for the function.…

Q: If an odd function f(x) has a local maximum value at X=c which of the following must be true?

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Q: Consider the function f(x) = 5 – 6x?, 4 < x < 2, The absolute maximum value is and this occurs at x…

A: Maxima and minima of the function

Q: Scanned With Camca Find the maximum of f(x) = et

A: This question can be solved using the concept of maxima and minima.

Q: Find the exact location of all the relative and absolute extrema of the function. f(x) = 2x - 2…

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Q: 3. Sketch the graph of a function that is continuous, but not differentiable at I= 1.

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Q: Find the maximum and minimum values of the following function on the interval [ 0 , 3 ].

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Q: The function ƒ(x) = |x| has an absolute minimum value at x = 0 even though ƒ is not differen-tiable…

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Q: Consider the function in the graph to the right. The function has a relative maximum of at x =

A: The function has a relative maximum of  2      or x = 0the function has a relative minimum of -6…

Q: Consider the function f(x)=1−6x^2, -4≤x≤2. The absolute maximum value is    and this occurs at x =?…

A: ddxxn=n xn-1

Q: #5a) Find the absolute maxımum and abrolute minimum values of f on the given interval. [0,3] X2-X+1…

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Q: Consider the function f(x) = z over the interval (-2, 2). Does the extreme value theorem guarantee…

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Q: A function f continuous on (a, b) always has a relative maximum and a relative minimum on [a, b]…

A: We have to check

Q: A function f has derivative f′(x)=x^3(x−1)^2(x+1)(x−2). At what numbers x, if any, does f have a…

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Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

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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: Consider the function f(x) = 1 – 5a", - 4 < a<1. %3D The absolute maximum value is and this ocCcurs…

A: Given that : f(x) = 1-5x2    ;      -4 &lt;= x &lt;= 1. We find absolute maximum and absolute…

Q: 1. Give an example of a function f : R –→ R that is continuous and bounded but does not achieve…

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

Q: Consider the function f(x) = 3 – 5x?, – 5 < x < 1. The absolute maximum value is and this occurs at…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 6] x2

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Q: Find the absolute maximum and absolute minimumvalues of  f on the given interval.

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Q: Find the absolute maximum value of f(x)= +1 on the interval [0,27]. +1

A: Given function…

Q: Let a, B be positive numbers. Find the absolute maximum value of f(x) = x°(1 – x)*, 0 < x < 1.

A: To find the absolute maximum of the given function.

Q: The function f(x)=>(x-k} attains minimum value for x, k=1 then x %3D

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Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

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Q: (c) Sketch the graph of a function that has a local maximum at 3 and is not continuous at 3. y 3 2 2…

A: For the graph to have a  local maximum at x=3 , and also it should be discontinuous at x= 3. The…

Q: The function f(x) =x-X X has a relative maximum point at x = Blank 1

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Q: Find the absolute maximum and absolute minimum values of f (x) = (x − 1)(x − 5)3 + 1 on the interval…

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Q: A continuous function, h(x) has a local maximum at (2, 3). What is h’(2)?

A: We have given that h(x)  is a continuous function and has a local maximum at point (2,3).

Q: Find the x value where the function g(x) = xe-lx attains a local maximum. Enter the exact answer. If…

A: Differentiate y and by solving y'=0 obtain critical points. Check sign of y'' on critical points -…

Q: Consider the function f(x) = x - 3 ln(x) on the interval The absolute maximum value is and this…

A: Consider the given function, fx=x-3lnx differentiate the function with respect to x,…

Q: The function f(x) = 1+x has a local minimum when a = 0. Select one: O True O False

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Q: Find the maximum and minimum value of the given function below on a given interval.

A: Given function  f(x) = 3+2x-x2     on -1.3  , 1

Q: Let F(x) = | f() dt where f(t) is the function whose graph is shown. Where does F(r) have a minimum…

A: Topic:- application of derivatives

Q: Find all of the x values that belong to the local minimum, local maximum, and point of inflection of…

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Q: Find the absolute maximum and the absolute minimum values of f on the given interval.

A: Calculate the derivative and equate it to zero to get the critical points,

Q: Find the local maximum and minimum values of function f (x) =x*

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Q: Consider the function f(x) = 4 – 6x?, – 3 < x < 2. - The absolute maximum value is and this occurs…

A: To find The absolute maximum and absolute minimum values of f(x).

Q: 2. Give an example of a function f: (0, 00) → K that is continuous and bounded but does not achieve…

A: It is an usual example which derivative not vanish anywhere