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

Differentiation question

2024 · 30 Jan · Shift 1 · Q36
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Differentiation
  5. /2024 · 30 Jan · Shift 1 · Q36

Differentiation question

2024 · 30 Jan · Shift 1 · Q36

JEE MainMathematicsDifferentiationMCQ+4 / −1
If f(x)=∣2cos⁡4x2sin⁡4x3+sin⁡22x3+2cos⁡4x2sin⁡4xsin⁡22x2cos⁡4x3+2sin⁡4xsin⁡22x∣,f(x)=\left|\begin{array}{ccc} 2 \cos ^4 x & 2 \sin ^4 x & 3+\sin ^2 2 x \\ 3+2 \cos ^4 x & 2 \sin ^4 x & \sin ^2 2 x \\ 2 \cos ^4 x & 3+2 \sin ^4 x & \sin ^2 2 x \end{array}\right|,f(x)=​2cos4x3+2cos4x2cos4x​2sin4x2sin4x3+2sin4x​3+sin22xsin22xsin22x​​, then 15f′(0)=\frac{1}{5} f^{\prime}(0)=51​f′(0)= is equal to :
  1. A
    2
  2. B
    1
  3. C
    0
  4. D
    6
PreviousNext

More from Differentiation

  • Let f:R−{0}→R be a function satisfying f(yx​)=f(y)f(x)​ for all x,y,f(y)eq0. If f′(1)=2024, then2024 · MCQ
  • Let f(x)=2x+tan−1x and g(x)=loge​(1+x2​+x),x∈[0,3]. Then2023 · MCQ
  • If f(x)=x2+g′(1)x+g′′(2) and g(x)=f(1)x2+xf′(x)+f′′(x), then the value of f(4)−g(4) is equal to ​.2023 · Numerical
  • If y(x)=xx,x>0, then y′′(2)−2y′(2) is equal to2023 · MCQ
  • If 2xy+3yx=20, then dxdy​ at (2,2) is equal to :2023 · MCQ
  • Let f(x)=sinx−cosxsinx+cosx−2​​,x∈[0,π]−{4π​}. Then f(127π​)f′′(127π​) is equal to2023 · MCQ
  • For the differentiable function f:R−{0}→R, let 3f(x)+2f(x1​)=x1​−10, then ​f(3)+f′(41​)​ is equal to2023 · MCQ
  • Let f(x)=∑k=110​kxk,x∈R. If 2f(2)+f′(2)=119(2)n+1 then n is equal to ​2023 · Numerical