Find the absolute maximum and minimum values of f(x) = 2x³ + 3z² + 7z – 5, if any, over the interval (-00, +). %3D absolute maximum is and it occurs at x = absolute minimum is and it occurs at x =

Q: Find the absolute maximum value of the function y=xV3x-x² on the interval [0, 3].

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Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

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 minimum and maximum value of the function on. the given interval by comparing values at the…

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Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

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Q: A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test.…

A: for question A see 2nd ,3rd and 4th step. for question B see 5th step.

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 critical point and determine if the function is increasing or decreasing on the given…

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Q: Find all the critical points of the function f(x;y)=.x3+y3-3xyDetermine if they are local…

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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 critical point of the following function y= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: 9. Find the local minimum and local maximum values using both the First and Second Derivative…

A: To find the local minimum and local maximum values.

Q: Find the absolute maximum and minimum values of ƒ(x) = x2 on[-2, 1].

A: Given,  fx=x2 on −2,1

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

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

A: Here we will apply first derivative and equate it to 0 to get the critical points and then apply…

Q: For the function f(x)= 6x-20arctan (x/3) find the absolute maximum and the abusolute minimum on the…

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Q: Does ƒ(x) = (7 + x)(11 - 3x)^(1/3) have an absolute minimum value? An absolute maximum? If so, find…

A: Check the function has absolute minimum value.

Q: Consider the following function f(x)=2(x+1)2 in the interval [-2, 3] The critical point(s) =…

A: For critical points put f'(x)=0.

Q: The critical values of f (x) =4x² - 48x+24 are *= - 2 and X=2, Determine which of the critical…

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Q: Find the minimum and maximum values of the function y = 4x² – 16x + 1 on the interval [0, 6] by…

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Q: y = x3 + 1,

A: We have to find

Q: given f(x) = ln(x)/x on the interval [1, 3] What is the maximum value? What is the minimum value?

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Q: Find the positive critical point of the function f(x) 2+3

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Q: Q2: Find all critical numbers of the function f(x) = (x- 2)2/3 +1 and classify each critical point…

A: Here we will find out the required value.

Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

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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: What is f(x) = x +1/x absolute maximum and absolute minimum at the range [0.2, 4]

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Q: find the absolute maximum and absolute minimum values of ƒ over the interval ƒ(x) = x - 2 ln x,…

A: The given function and the interval is,

Q: find the absolute maximum and minimumvalues of each function on the given interval. y = 10x(2 - ln…

A: Given function is:                              y=10x(2-ln x) over (0, 2e)   To determine:…

Q: The function f(x)=2x^3−42x^2+270x+8has derivative f′(x)=6x^2-84x+270. f(x) has one local minimum…

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Q: f(x) = 3 x*-4 x-12 x2+1, has local maximum at x=

A: Given :            f(x) = 3x4 − 4x3 − 12x2 + 1

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

A: Find first derivative.

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: 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 maximum and minimum vaules of the funct ion g(x)= (x^2-3x+4)/(x-1) on the interval…

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

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Q: f(x) = -x + 6x + 5 on [5, 8] %3D maximum minimum

A: Differentiate wrt x and put derivative to zero for maxima and minima  If value of x lies on given…

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

A: We will use first and second derivative test for minima and maxima.

Q: (b) Find the linearization of function S(x) = Vx V220 at a=216 and use approximate number (c)Find…

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

A: We know,  -1≤cos x≤1 for any real value of x.

Q: Let f(x)=kx^-1+x^2 For what values of k, function f(x) has a relative minimum but not a relative…

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Q: y у%3D х* + 8х — 1

A: Second derivative test to Find Maxima and Minima : Firstly , we can find critical points , f'(x) =0…

Q: Find the local minimum/maximum of y=x³ – 9x² + 15x + 4 A minimum at x=5, maximum at x=1 B minimum at…

A: How to find local minimum or maxima: Find the critical point by f'(x) =0 Find f''(x) if f''(x) <…

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

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Q: On the graph of f(x) = cos x and the interval [-27, 0), for what value of x does f(x) achieve a…

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

A: Find the maxima and  minima using second derivative test

Q: y = x* – 4x +1

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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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