The function f(x)=9x+7x^−1 has one local minimum and one local maximum. This function has a local maximum at x= with value    and a local minimum at x=    with value

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = 4x/16 -…

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Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

Q: Find the critical values, inflection, maximum and minimum points of the function. Also, provide a…

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Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

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Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

A: Given that the function is        f(x) = x e-x^2

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: Find all critical points of the function. f(x) = x lnx

A: A critical point is a point on the function curve at which the derivative equals zero or the…

Q: Find the positive number x such that the sum of x and its reciprocal is as small as possible. Does…

A: Given the positive number is x

Q: 2 1. f(x) = x² + 8x + 12 2 2. f(x) = x² + 25x 150 3. f(x) = x² + 18x130

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: Find the minimum and maximum values of the function y = 3Vx² + 1 – 2x on the interval [0, 6] by…

A: Maximum and minimum value function

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: Find the absolute minimum maximum if they exist for f(x) = x+ 4/x

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Q: Find the critical numbers for function f(x)=x-3 ln(x)

A: Given function:  fx=x-3lnx

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

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Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

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Q: f (x) = e'/x²

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Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: How do I find the critical numbers for the function f(x) = x2 – 4x + 2?

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Q: . Find the local and absolute minima and maxima for the function over (-∞, ∞). 3 y = x³ (1-x)6

A: Given, y=x31-x6

Q: A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it…

A: Given that: Total area =1500000 sq. ft.The field is to be rectangular.and then divide the field with…

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x-2x²

A: We can use application of derivative order to solve the given problem.

Q: Find the critical points, points of inflection, concavity and the local 3 and absolute extrema for…

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Q: How do I find the absolute minimum of g(x)=ex/(7x) when x>0?

A: We first find the critical number by solving…

Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local…

A: The given function is f(x)=5x45-2x

Q: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: Find the relative maximum / minimum values of the function x- 2 f(x) = x+2 State where the function…

A: Given that, the function is fx=x-2x+2. Differentiate the function fx=x-2x+2 with respect to x as…

Q: Find the coordinates of all critical points of the given function. Determine whether each critical…

A: Given function is fx=3x3-9x+3 To find the critical points first differentiate given function…

Q: find any locl maximum and locl minimum values by using first derivative: f(x)-x-2x

A: Given :           f(x) = x4 - 2x2

Q: Find the maximum and minimum values of the function y = V8 + x2 - 4x on the interval 3, 5|. (Use…

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Q: On the interval 2 < x < 4, there is a relative… •maximum •minimum •increasing •decreasing •constant

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Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

A: The given function is fx=sinx Differentiating w.r.t. x to both sides- f'x=cosx To find the critical…

Q: b- find any locl maximum and locl minimum values by using first derivative: I(x)=x-2x

A: Given, f(x)=x4-2x2

Q: f(x) = }x* – }x³ – x² + 2x – 1 - -

A: We have the given function as fx=14x4-23x3-12x2+2x-1             ⋯⋯1 In order to find…

Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

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Q: Find the absolute maximum and minimum values of the function f (x) = V4 – x² in the interval [-2,…

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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Q: Find the minimum and maximum values of f(x) = on the interval [6, 7] by comparing values at the…

A: Consider the given:…

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: or equal to 0). Find the minimum possible value of X346.

A: here given mean of 345 quantities is 5.9

Q: Find the maximum and minimum values of the function y=4x^(3)−4x+6 on the interval [0,2]. (Use…

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Q: Find the relative maximum / minimum values of the function S(x)- *-2 x+2 State where the function is…

A: Disclaimer: As we are currently not providing any hand-written solution, therefore, the solution to…

Q: What is the x-coordinate of the global minimum of the function f(x) = x – 3 ln x – 2 for the…

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Q: Find the absolute maximum and minimum values of f(x) = (z² + æ)f over the interval [-3, 4]. and it…

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