Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Application of Derivatives question

2022 · 26 Jun · Shift 1 · Q27
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2022 · 26 Jun · Shift 1 · Q27

Application of Derivatives question

2022 · 26 Jun · Shift 1 · Q27

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The sum of the absolute minimum and the absolute maximum values of the function f(x) = |3x −-− x2 + 2|−-− x in the interval [−-− 1, 2] is :
  1. A
    17+32{{\sqrt {17} + 3} \over 2}217​+3​
  2. B
    17+52{{\sqrt {17} + 5} \over 2}217​+5​
  3. C
    5
  4. D
    9−172{{9 - \sqrt {17} } \over 2}29−17​​
PreviousNext

More from Application of Derivatives

  • Let f(x)=2cos−1x+4cot−1x−3x2−2x+10, x∈[−1,1]. If [a, b] is the range of the function f, then 4a − b is equal to :2022 · MCQ
  • Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is :2022 · MCQ
  • A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is tan−143​. Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (in square meter…2022 · Numerical
  • If the minimum value of f(x)=25x2​+x5α​,x>0, is 14 , then the value of α is equal to :2022 · MCQ
  • The function f(x)=xex(1−x),x∈R, is :2022 · MCQ
  • The number of real solutions of x7+5x3+3x+1=0 is equal to ​.2022 · MCQ
  • Let f(x)=3(x2−2)3+4,x∈R. Then which of the following statements are true? P:x=0 is a point of local minima of fQ:x=2​ is a point of inflection of fR:f′ is…2022 · MCQ
  • A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so that the combined area of the square…2022 · MCQ