The maximum value of the function f x 2x 3
SpletFind the value of the objective function z = 2x + 3y at each corner of the graphed region shown. What is the maximum value of the objective function? What is the minimum value of the objective function? Show Answer. Verified Solution. This video solution was recommended by our tutors as helpful for the problem above. SpletCorrect option is A) The minimum value of the function exists at x=c on the condition f(c)=0 Now, f=x 3+2x 2−4x+6 f(x)=3x 2+4x−4 So, f(c)=3c 2+4c−4=0 here c is the point where f is …
The maximum value of the function f x 2x 3
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Splet23. mar. 2024 · The maximum value is given by k, so the maximum value is -3. 4. Substituting the formula for the x-coordinate of the vertex into a standard quadratic function, we have: Splet25. nov. 2024 · The maximum value of the function f (x) = x3 − 3x2 + 2x in [1, 2] is: The rate of working of an engine is given by f (v) = 15v + 6000 v, 0 ≤ v ≤ 30, v unit being the speed of the engine. Then the value of v for which the rate of working is least, is Q8.
SpletLet M and m be respectively the absolute maximum and the absolute minimum value of the function, f ( x) = 2 x 3 – 9 x 2 + 12 x + 5 in the interval [ 0, 3]. Then M – m is equal to: The … Splet09. jan. 2016 · Maximum at x=-3, minimum at x=3 Find the critical values of f(x). A critical value c occurs when f'(c)=0 or f'(c) does not exist. Find f'(x) and set it equal to 0. f(x)=x^3-27x f'(x)=3x^2-27 3c^2-27=0 3c^2=27 c^2=9 c=+-3 We know that two critical values, at which maxima or minima could occur, are -3 and 3. Since there are no values for which f'(x) is …
SpletQuestion: Find the maximum or minimum value of the function. f(x) ... Find the maximum or minimum value of the function. f(x) = 2x 2 + 16x − 3. f(x) = 9 − 2x − x 2. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. Splet11. avg. 2016 · Explanation: y = 3x2 −x3. y' = 6x −3x2 = 3x(2 −x) y' = 0 ⇒ x = 0,2. y'' = 6 −6x = 6(1 − x) y''(0) = 6 > 0 a min. y''(2) = − 6 < 0 ie a max. y(2) = 4, the max value of y. graph …
Splet14. okt. 2024 · Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.
Splet04. apr. 2024 · Find an answer to your question Which function has the greater maximum value f(x)=-2x^2+8x-1,or g(x), the function in the graph. magemenproduct magemenproduct 04/04/2024 Mathematics Middle School answered • expert verified Which function has the greater maximum value f(x)=-2x^2+8x-1,or g(x), the function in the graph See answer … brunette with golden highlightsSpletPred 1 dnevom · We can use the method of Lagrange multipliers to find the maximum value of f (x, y) subject to the constraint 4 x A 2 + y A 2 = 81. Let λ λ L ( x , y , λ ) = x A 2 + 3 y A 3 … example of curriculum compactingSplet22. dec. 2024 · The function f(x) = 2x^3 - 3x^2 - 12x + 4 has (A) No maxima and minima asked Dec 23, 2024 in Limit, continuity and differentiability by Vikky01 ( 42.0k points) applications of derivatives example of cuneiform writingSplet17. maj 2016 · Determine the local maximum and local minimum points for the function f ( x) = 2 x 3 + 3 x 2 − 12 x + 3. I know that the local maximum and local minimum points largest and smallest value of the function, but I do not understand how to find the points from the equation. Assistance would be greatly appreciated. calculus Share Cite Follow brunette with gray highlightsSplet14. mar. 2024 · Quadratic equation. According to the question, we are to graph the quadratic equation. First, we need to find the vertex of the parabola as shown: Substitute x = 1 intp the quadratic function. Hence the vertex of the parabola will be (1,2) Next is to get the y-intercept, the point where x = 0. The y-intercept is at (0, 3) example of curriculum in schoolSpletf (x) = 2x2 − 8x − 3 f ( x) = 2 x 2 - 8 x - 3. The minimum of a quadratic function occurs at x = − b 2a x = - b 2 a. If a a is positive, the minimum value of the function is f (− b 2a) f ( - b 2 … example of curriculum in educationSpletThe minimum value of f ( x) = 2 x 3 - 21 x 2 + 36 x - 20 is A - 128 B - 126 C - 120 D None of these Solution The correct option is A - 128 Find the minimum value of the given function Given : f ( x) = 2 x 3 - 21 x 2 + 36 x - 20 Differentiate the function with respect to x, f ' ( x) = 6 x 2 - 42 x + 36 For maximum or minimum put f ' ( x) = 0, example of custodian bank