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Maximum value of logx/x

WebThe maximum value of xLogx in (2,∞) is 2398 71 KCET KCET 2008 Application of Derivatives Report Error A 1 B e2 C e D e1 Solution: Let y = xlogx On differentiating w.r.t. x, we get dxdy = x2x⋅x1−logx.1 = x21−logx For maxima, put dxdy = 0 ⇒ x21−logx = 0 ⇒ logx = 1 ⇒ x− e Now, dx2d2y = (x2)2x2(−x1)−(1−logx)2x At x = e, dx2d2y ≤ 0, maxima Web21 dec. 2024 · Solution. a. By the definition of the natural logarithm function, ln(1 x) = 4 if and only if e4 = 1 x. Therefore, the solution is x = 1 / e4. b. Using the product and power properties of logarithmic functions, rewrite the left-hand side of the equation as. log10 x + log10x = log10x x = log10x3 / 2 = 3 2log10x.

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WebThe 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 Web22 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 cortisone shot help nerve pain https://milton-around-the-world.com

The minimum value of (x/ log x) is - Tardigrade

WebThe maximum value of logx/x in (2, ∞) is a) 1 b) 2/e c) e d) 1/e Correct answer is 'D'. Can you explain this answer? Answers Muskan Agrawal 1/e let f (x)=logx/x to get max of f … WebThe maximum value of `logx` is WebMy solution for this involves substituting u = logx and then using quadratic formula. I was just wondering whether there is a shortcut as there are quite a number of steps. ... For Example -> arr=[9,1,2,3,9] and K=3, maximum value = 9+(1+2+3)/3+9 = 20. r/cheatatmathhomework ... cortisone shot in buttocks

The minimum value of logx/x in the interval [2, ∞) is (A ... - Sarthaks

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Maximum value of logx/x

Q5 ∫logx/x dx Integral of logx/x dx - YouTube

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. 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, …

Maximum value of logx/x

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Web27 mei 2024 · Consider ∫ e 3 logx x 4. e 3 logx = \(e^{log\,x^3}\) = x 3 . ∫ e 3 logx x 4 = ∫ x 3 x 4 dx = ∫ x 7 dx = \(\frac{x^8}{8}\) + c. ← Prev Question Next ... The value of ∫ 1/(x+xlogx) dx is : asked May 29, 2024 in Indefinite Integral by rahul01 (29.3k points) indefinite integral; 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.

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 Web19 aug. 2013 · The limit of x as x tends to 0 is 0. The limit of log x as x tends to 0 + is − ∞. The limit of products is the product of each limit, provided each limit exists. Therefore, …

WebThe minimum value of xlogx is equal to. A e B e1 C − e1 D e2 Medium Solution Verified by Toppr Correct option is C) y=xlogx diff. both sides w.r.t. x dxdy=logx+ xx=1+logx=loge+logx dxdy=logex (1) Now, to find minima ⇒ dxdy=0 log eex=0 ⇒ex=1 ⇒ x= e1 diff. eqn. (1) w.r.t. x dx 2d 2y= ex1 ×e= x1 ⇒ [dx 2d 2y] x= e1=e>0 ∴ At x= e1, y is minimum WebThe maximum value of xlogx is A e B 1/e C e 2 D 2e Medium Solution Verified by Toppr Correct option is B) f(x)= x 21− x 2logx f(x)=0 at x=6 f(x)>0 when xe …

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 …

WebQ. Local maximum value of the function logex x is Q. The function f (x) = e x Q. 1)Find the local maxima and local minima, if any, of the function. Find, also the local maximum & … cortisone shot generic nameWebLet f = logx/x Derivative is df/dx = (1−logx)/x 2 maximum value occurs when derivative is zero. So⇒ (1 − logx)/x 2 = 0 ⇒logx = 1 ⇒x = e I hope this answer will help you. Thanks … cortisone shot increase blood pressureWebWelcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get … cortisone shot increase blood sugarWeb30 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, … cortisone shot in earWeb27 aug. 2015 · So x = y should be evaluated to the value assumed by x after the assignment, which is to say, the value of y: 10. As a side note, this feature of the language is particularly useful for doing something like: min = max = 0. Thereby assigning to min the result of the evaluation of max = 0, which is to say, 0. cortisone shot in cervical spinecortisone shot in buttocks for sciaticaWebThe 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 … brazil in the eu