Maximum value of logx/x
WebLet us assume that Log X >= X for all X > 0. Then we define Log X to be equal to Y. X must be <= Y, by definition. By the definition of logarithms, 2^Y = X. Using simple substitution, we can say that 2^Y <= Y, since X is <= Y. This inequality only holds true for Y < 0. WebDetermine the maximum and minimum value of the following function. f (x) = x log x Advertisement Remove all ads Solution f (x) = x log x ∴ f' (x) = x d dx x x d dx x x d dx ( log x) + log x d dx ( x) x x x x = x × 1 x + log x × 1 = 1 + log x and f'' (x) = x x 0 + 1 x = 1 x Consider, f' (x) = 0 ∴ 1 + log x = 0 ∴ log x = - 1
Maximum value of logx/x
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WebTo find the local maximum and minimum values of the function, set the derivative equal to and solve. Find the first derivative. Tap for more steps... Find the first derivative. ... Dividing two negative values results in a positive value. Divide by … Webmaximum value occurs when derivative is zero. So⇒ (1 − logx)/x 2 = 0. ⇒logx = 1. ⇒x = e. I hope this answer will help you. Thanks & Regards. Yash Chourasiya.
WebThen the probability that the sum obtained on two dice is 7,is (a) 1/6 (b) 5/6 (c) 1/2 (d) None of these Q If 𝑓(𝑥) = 1 4𝑥 2 +2𝑥+1, then its maximum value is (a) 3/4 (b) 4/3 (c) 1 (d) 5/ Q Let 𝑓: 𝑅 → 𝑅 defined by 𝑓(𝑥) = 3𝑥.choose the correct answer. Web7 apr. 2024 · Consider the top half of the circle… bartleby. Math Calculus 2. Consider the top half of the circle x ²³ty ² -100. and A rectangle is formed inside the circle as shown in the picture below, what is the Ja d of such a sectangle. AY -10 10 maximum area. 2.
Web30 mrt. 2024 · Class 7 Maths NCERT Solutions. Class 8 Maths NCERT Solutions. Class 9 Maths NCERT Solutions. Class 10 Maths NCERT Solutions. Class 11 Maths NCERT Solutions. Class 12 Maths NCERT Solutions. WebThe maximum value of logx/x is Class 12 >> Maths >> Application of Derivatives >> Maxima and Minima >> The maximum value of logx/... Question The maximum value of xlogx is A e B 1/e C e 2 D 2e Medium Solution Verified by Toppr Correct option is B 1/e f ′(x)= x 21− x 2logx f ′(x)=0 at x=6 f ′(x)>0 when xe So f(x) is maxima …
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WebX 2 (X 2) ujF X 1 (X 1) u) >0 for two random variables X 1 ˘F X 1 and X 2 ˘F X 2 and asymptotic independence when the limit is 0, provided the limit exists. Asymptotic independence can arise in environmental and climatic data for space lags or time lags, which means that the most extreme events become more and more isolated in time, … maxar annual revenueWeb22 dec. 2024 · The minimum value of logx/x in the interval [2, ∞) is (A) log2/2 (B) Zero (C) 1/e (D) Does not exist applications of derivatives jee jee mains 1 Answer +1 vote answered Dec 22, 2024 by Rozy (42.0k points) selected Dec 23, 2024 by Vikky01 Best answer Answer is (D) Does not exist Let us consider max archer 12kbwWeb30 jan. 2024 · log x = 1 = log e x = e At x = e, d2y/dx2 = (23log e - 3e)/e4 = (2e - 3e)/e4 = - (1/e3) (-ye) So, at x = e, y has maximum value ∴ Maximum of log x/x = loge/e = 1/e ← … max arcane forceWebThe maximum value of f (x) = ( log x/x) , 0 < x < ∞ is Q. The maximum value of f (x) = xlogx,0 < x < ∞ is 3207 71 COMEDK COMEDK 2007 Statistics Report Error A e2 B e1 C … hermes scottish depotsWebThe maximum value of `logx` is hermes scottsdale azWeb30 mrt. 2024 · Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, … maxarchivedays nlogWebThe minimum value of x log x is A e B 1 e C e 2 D e 3 Solution The correct option is A e Evaluate the minimum value of the given function Given : f ( x) = x log x Differentiate the function with respect to x, f ' ( x) = log x - x 1 x log x 2 = log x - 1 log x 2 For maxima or minima put f ' ( x) = 0, log x - 1 log x 2 = 0 ⇒ log x = 1 ⇒ x = e maxar buyout price