The function f(x) = - 2x + 45x? – 300x + 9 has one local minimum and one local maximum. This function has a local minimum at x = with value and a local maximum at a = with value

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: The function f(x) = 7x + 2x¯1 has one local minimum and one local maximum. This function has a local…

A: Consider the given function. f(x)=7x+2x-1 Find the derivative of the function. f'(x)=7-2x-2 Put the…

Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

A:

Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

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

A:

Q: Find the absolute maximum and absolute minimum values of the function: f(x)=5x^7−7x^5−7 on the…

A: We find the critical points by solving f'(x)=0 Use power rule to find f'(x)

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: Find the absolute maximum and absolute minimum f(x) = x³ – 6x² + 9x + 9, [-1, 8] %3D absolute…

A:

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

A:

Q: The function f(x) = 2x3 + 39x? 216x + 10 has one local minimum and one local maximum. - - This…

A: we will find the local maximum and local minimum.

Q: The function f(x) = 2x° –33x2 + 108T + 1 has one local minimum and one local maximum. This function…

A: topic - application of derivatives

Q: Consider the function f(x) = 2x° + 9x- 108x + 3, - 6 < x < 4. This function has an absolute minimum…

A: f(x) = 2x3+9x2-108x+3f'(x) = 6x2+18x-108f'(x) = 0 6x2+18x-108=0 x2+3x-18=0(x+6)(x-3)=0x=-6,3 where 3…

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A: The extremum value of a real-valued function is determined through differential calculus. It is one…

Q: Find the absolute maximum and minimum (if any) of the function, f(x)=3x'-5x' on interval -2,0|

A:

Q: Find the maximum or minimum value of the function.

A: Given fx=3-x-12x2

Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…

A: we have been given  f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…

Q: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

Q: Find all values of x, if any, where the function f(x) = x5 - 5x3 - 20x - 2 has local maximum and…

A:

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

A:

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…

A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13

Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

A:

Q: The function f(x): – 2x3 + 30x² – 54x + 7 has one local min - This function has a local minimum at x…

A: Here we have to find the local minima and maxima of the function.  The given function is…

Q: Consider the function f(x)=x^4−72x^2+9, -5≤x≤13. This function has an absolute minimum value  =?…

A: f(x)=x4−72x2+9f'(x)=4x3-72(2x)+0f'(x)=4x3-144xFor the critical numbers…

Q: Find the minimum and maximum point of the function f(x)=x3-3x+1

A:

Q: Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or…

A:

Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Follow the procedure given below.

Q: Find the absolute maximum and minimum values of the function 3 f(x)%34 x- 15 x + 12 x +7 on the…

A: the correct answer of the question is option (b) i.e the maximum and minimum values of function…

Q: Find the absolute maximum value of y = x³-3x2 + 2 in the interval [-1,3]. (-1,-2) (0,2) O (1,0)…

A:

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

A:

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: The function f(x) = 2x + 33x? – 60x + 8 has one local minimum and one local maximum. - This function…

A:

Q: Determine the absolute extreme values (maximum and minimum) of the function f(x)=Vx² -4x+13, for…

A: Topic:- application of derivatives

Q: Consider the function f(x)=2x^3+27x^2-60x+1, -10≤x≤2. Find the absolute minimum and maximum value…

A: Answer and explanation is given below..

Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

Q: Consider the function f(x) = 2x + 21x- 108x + 4, - 9 < x < 3. This function has an absolute minimum…

A:

Q: . Find the absolute maximum and minimum values of f(x) = 2x3 − 21x2-21X 2+ 60x + 1 on the closed…

A: We have f(x) = 2x3 - 21x2 + 60x + 1 We find its derivative w.r.t. "x", f'(x) = 6x2 - 42x +60 To find…

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: The function f(x) = 2x° 33x + 108x + 2 has one local minimum and one local maximum. This function…

A: first we calculate first derivative and second derivative.

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: Use the function’s equation, f(x) = 2x2 + 12x + 703 and not its graph, to find; a. the minimum or…

A: The function is given as, fx=2x2+12x+703 a. Solve for the critical point as,…

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?

A:

Q: The function f(x) = – 2x + 45? 300x + 7 has one local minimum and one local maximum. - - This…

A: Given,f(x)=-2x3+45x2-300x+7differentiating both the sides w.r.t. xf'(x)=-6x2+90x-300for local maxima…

Q: Find all values of x, if any, where the function f(x) = x° – 5x³ – 20x – 2 has local maximum and…

A:

Q: Consider the function f(x) = 0s xs 2. 9x2 +1' This function has an absolute minimum value equal to:…

A: To find absolute maxima and minima on the interval [0,2] for the function: f(x)=-x9x2+1

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.