The function f(x) = 2x° – 30x² + 144x + 6 has one local minimum and one local maximum. Use a - graph of the function to estimate these local extrema. This function has a local minimum at x = with output value and a local maximum at x = with output value

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: In the function:  f(x)=(12−3x)e^x  What are the critical numbers of the function?  When is the…

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Q: The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of…

A: Given query is to find the number of box needs to be produced to maximize the profit.

Q: 4) Find the critical points of the function f(x) = x²- 9 x* + 15x +3 and identify their nature. Draw…

A: Given that: f(x)=x3-9x2+15x+3 The graph is shown below

Q: Find all critical points of the function f(x)=4x^5-5x^4-40x^3+11 and classify each critical point as…

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Q: Find a point c satisfying the MVT for the given function and interval. 2 y = x3 [0,8]

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Q: Determine the equation of the quartic function with the following characteristics x-intercepts at x…

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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: 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: 1. Use the first derivative test to find the local minimum and maximum points of the graph of f(x) =…

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Q: Find all critical points of the function y= x^4 - 8x^2.

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Q: Find all critical points of the function f(x) = 2 – 2x + 2. %3D

A: topic - derivatives

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: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: The function f(x) = 7x + 8x 1 has one local minimum and one local maximum. This function has a local…

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Q: Find the absolute maximum and absolute minimum f(x) = + x2 24x over the interval 2, 6|. -

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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: y = x3 + 1,

A: We have to find

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

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

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Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: y=2x5+5x2,  -2, 2 Differentiating with respect to x, we get dydx=25x4+52x=10x4+10x Now critical…

Q: y = 3 – 2x + x?

A: In this question, we need to find the critical points and test for maxima/minima of y=3-2x+x2.

Q: Find a function y whose graph passes through the point (1, =) and satisfies x2y' = y.

A: NOTE: Refresh your page if you can't see any equations. .

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: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

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: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

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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: Find the values of constants a, b, and c so that the graph of y = ax + bax2 + cx has a local maximum…

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

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

A: The given function is fx=x2-8x+4.

Q: Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests.…

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Q: Find the value of x at which the minimum of the function f(x) = x? Occurs.

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Q: Find all critical points for the function f(x)= x²e!-2¤. %3D

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Q: ve maximum or

A: Maxima and minima: Let f(x)=e3x2+4 For maxima or minima we need to find those values where f'(x)=0.…

Q: Find the minimum absolute extremum as well as all values of x where it occurs on the specified…

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Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function…

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Q: Determine all the critical points for the function y = Vx² (2t- 1)

A: Given function is in two variables x and t For critical points we calculate Partial derivatives…

Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: Find the critical numbers and the local maximum and minimum values of the function f(x) = x* - 2x²…

A: Given :                   f(x) = x4 - 2x2 + 3

Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: find the marginal revenue of the function. Using the quotient rule.  40x^2 -20x/x^2-10-2

A: Given: Revenue FunctionRx=40x2-20xx2-10-2 To Find: Marginal Revenue Concept: a. Marginal RevenueMx…

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

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Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Where are there local minimum(s)/maximum(s) f(x)=3(2x-1) -4(x+1)?

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Q: y = x* – 4x +1

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Q: Find the absolute maximum and absolute minimum of f(x) =2x – 3x² – 36x + 2 on the interval [0,5]

A: Before finding absolute maximum and absolute minimum of any function over the given interval we need…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.