The maximum value of xe-x is
SpletWhat is the maximum value that the function f (x) = xe^-x can attain? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Question: What is the maximum value that the function f (x) = xe^-x can attain? Show transcribed image text Expert Answer 100% (2 ratings) Splet22. dec. 2024 · Answer is (A) x = −1 is minimum. Given equation [of the curve (Fig.)] is y = xe x. Therefore, For the maximum or minimum value of f(x), we have. dy/dx = 0 ⇒ x = -1. …
The maximum value of xe-x is
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SpletThe extreme value is −4. To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum.. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).. But we will not always be able to look at the graph. SpletExtreme value theorem tells us that a continuous function must obtain absolute minimum and maximum values on a closed interval. These extreme values are obtained, either on a …
SpletFind the x value where the function g (x) = x e? 8 x attains a local maximum. Enter the exact answer. If there is none, enter NA. The local maximum is x = eTextbook and Media Find the x-value where it attains a local minimum. Enter the exact answer. If there is none, enter NA. The local minimum is x = SpletThe curve y = xe^x has minimum value equal to. Answer to Solved find the minimum value of the function f(x) = xe^x. Given Steps First off, find the derivative of f(x): Apply the Product Rule f'(x) ... Find the Maximum/Minimum Value f(x)=xe^(Evaluate the second derivative at x=1 x = 1 . If the second derivative is positive, then this is a local ...
SpletWhat is the maximum value of xe^( This has no maximum value as presented . The domain is and the function is increasing as x increases. The limit of y as x goes to infinity , diverges to Get arithmetic help online The average satisfaction … SpletTo obtain the actual value requires calculus, but we can get some intuition for the fact that it attains a maximum somewhere near e, as follows. Let f ( x) = x 1 / x = x x. For x = 1, we clearly have f ( x) = 1. For x = 2, we have f ( x) = 2 > 1. So far, it's going up. Now, for x = 4, we have f ( x) = 4 4 = 2 = f ( 2).
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SpletFind the x value where the function g (x) = x e? 8 x attains a local maximum. Enter the exact answer. If there is none, enter NA. The local maximum is x = eTextbook and Media Find … boys ny yankees sweatshirtsSplet19. okt. 2016 · Explanation: We need to use the product rule: d dx (uv) = u dv dx + v du dx. ∴ f '(x) = x d dx (e−x) +e−x d dx (x) ∴ f '(x) = x( − e−x) +e−x(1) ∴ f '(x) = e−x − xe−x. At a … gyfs one manchesterSplet13. apr. 2024 · 1 Answer Wataru Apr 13, 2024 Critical Value: x = − 1 2 Explanation: f (x) = xe2x By Product Rule, f '(x) = 1 ⋅ e2x +x ⋅ 2e2x = (1 + 2x)e2x By setting f '(x) = 0, (1 +2x)e2x = 0 By dividing both sides by e2x, 1 + 2x = 0 By subtracting 1 from both sides, 2x = −1 By dividing both sides by 2, x = − 1 2 (Critical Value) I hope that this was clear. boys obermeyer