find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) =-x^3-3x+5

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

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Q: Find the critical points of the function f(x) = x³ + 1¹5 x² + 50x + 8. Use the First Derivative Test…

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Q: Find the intervals on which the function f(x)=x2+1x is increasing and decreasing.

A: We have to find the intervals on which the function f(x)=x2+1/x is increasing and decreasing

Q: Find the absolute extrema of the function on the closed interval.                         f(x) = 2x3…

A: We find the critical points by solving f'(x)=0 -1 is not in the interval [0,3] 1 lies in [0,3]

Q: Find the absolute maximum and minimum values of f (x) = 3 + 3x+x², if any, over the interval (-o,…

A: Find value of function at critical point. Also, find value of function at end points of given…

Q: 5. Find the absolute extrema of f(x) = x’ + 3x – 9x + 4 on the closed interval [-4, 0].

A: The given function fx=x3+3x2-9x+4

Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: Find the critical points and the intervals on which the function f(x) = x* – 9x2, (x > 0) is…

A: Given: The function is  fx=x4-9x32, x> 0   To determine: The critical points and the intervals on…

Q: Find the absolute extrema of the function on the closed interval.

A: Find the derivative for g(x).…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x ln…

A: Now differentiating with respect to x, we get

Q: Find the value of x at which the absolute maximum occurs (if it exists) for the function f(x) = -x2…

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Q: Find the absolute maximum and minimum values of f(x) = xe-x on the interval [0, 3].

A: Here, f(x) = xe-x on [0,3]   Extreme Value Theorem(EVT):  If a function f is continuous on a closed…

Q: Find the absolute extrema of the function on the closed interval.                          h(x) = 5…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

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

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Q: Find the critical points and the intervals on which the function f(x) = (x³ – 2x) e* + 4 is…

A: Consider the function and find the derivative of the function and critical points.

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x2 ln…

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Q: Find the absolute extrema of the function on the closed interval. 5x f(x) [-5, 5] x2 + 16

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Q: Find the global extrema of the function f(x)=x3−6x2−15x+100 on the interval [−3,6].

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: Find the absolute maximum and absolute minimum of - x2. f(x) = + x² – 15x over the interval [1, 5].…

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Q: Find the absolute extrema of the function on the closed interval.

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: The critical points of the function are the points where the function is defined but its first…

Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Find the absolute extrema of the function on the closed interval.

A: Relative extremum of a function are critical points of the function. Critical points of a function…

Q: Find the absolute extrema of the function on the closed interval.                      g(x) = 6x2/(x…

A: Given    g(x)=6x2x-2 ;  -2,1

Q: 8. Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6].

A: Given : The function is f(x) = 6x + 4 +24x and the closed interval [ 1, 6 ].

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…

Q: 3. Find all -values where the graph of f(x) = x³ + 3x² + x + 3 has a horizontal tangent line.

A: Solution is given below:

Q: Find the absolute minimum and absolute maximum values of f on the given interval. fx) =Dx -In(7x),…

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Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

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Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Find the absolute extrema of the function on the closed interval.                        f(x) = 7x2…

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Q: 2. Use the Closed Interval Method to find the absolute/relative extreme values of the function f (x)…

A: Solve the following

Q: Find the absolute maximum of f(x) = x³ – 12x + 1 on the interval [0, 4]. -

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Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: Find the absolute extrema of f(x) = −x^(2) + 3x on the interval [0,3] .

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x3 - 6x2 +…

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Q: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

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Q: Find the critical points and the intervals on which the function f(x) = (x³ – 4x) e* + 15 is…

A: given f(x)=x3-3247xex +15 we have to find the critical points and the intervals on which the given…

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 - 12x, [0,6]

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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: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x2 -…

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: Find the absolute maximum value of the function   f(x)   = x - ex

A: Given:fx=x-ex

Q: Find the absolute maximum and minimum values of f(x)= 1/4x^4 -x^3 on the closed interval [ -1, 4].

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Q: Find the absolute extrema of the function on the closed interval.                   f(x) = 4x / (x2…

A: f(x)= 4xx2+9so,  f1(x)= 4(x2+9) - 4x(2x)(x2+9)2Now equ    f1(x)=0=                4(x2+9) -4 x(2x) =…