WebIf the function f(x)=2x 3−9ax 2+12a 2x+1, where a>0 attains its maximum and minimum at p and q respectively, such that p 2=q, then a equal to A 1 B 2 C 1/2 D 3 Medium Solution Verified by Toppr Correct option is B) Given, f(x)=2x 3−9ax 2+12a 2x+1 Thus f(x)=6x 2−18ax+12a 2 and f (x)=12x−18a For max/ min, 6x 2−18ax+12a 2=0 ⇒x … WebCorrect option is C) Given f(x)=2x 3−9ax 2+12a 2x+1 ⇒f(x)=0 for maximum or minimum ⇒6x 2−18ax+12a 2=0 ⇒x=a,2a (by observation) Also x 2=x 12 (given) ⇒a can not be <0 Now if a>0 then local minimum occurs at x=2a and local maximum at x=a so x 1=a and x 2=2a. Using x 2=x 12 ⇒2a=a 2⇒a 2−2a=0 ⇒a=0,a=2∵a =0 ⇒a=2 is the required value of a
If the function f(x) = 2x^3 - 9mx^2 + 12m^2x + 1 , where m>0 …
Web10 apr. 2016 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange WebAlgebra Graph f (x)=1/2x+3 f (x) = 1 2 x + 3 f ( x) = 1 2 x + 3 Rewrite the function as an equation. y = x 2 +3 y = x 2 + 3 Rewrite in slope-intercept form. Tap for more steps... y = … red chin price
If the function `f(x)=2x^3-9ax^2+12a^2x+1` attains its maximum …
WebLatest AIEEE Aptitude Question SOLUTION: f the function f(x) = 2x^3 – 9ax^2 + 12a^2 x + 1, where a > 0 attains its maximum and minimum at p and q respectively such that p^2 = q, then a equals - (A) 3 (B) 1 (C) 2. Follow Quotesrain. Result; Today's Puzzle. Previous Puzzles; Prize & Rules; Discussion Board. WebThis video shows how to solve a quadratic equation by factoring to determine the inputs of a quadratic function for a given output.http://mathispower4u.com Web22 apr. 2024 · For what values of a, the function f(x) = (a + 2)x^3 – 3ax^2 + 9ax – 1 is strictly decreasing for all x in R. asked Nov 26, 2024 in Limit, continuity and differentiability by SumanMandal ( 54.9k points) knight france