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

Differentiation question

2023 · 25 Jan · Shift 1 · Q32
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Differentiation
  5. /2023 · 25 Jan · Shift 1 · Q32

Differentiation question

2023 · 25 Jan · Shift 1 · Q32

JEE MainMathematicsDifferentiationMCQ+4 / −1
Let y(x)=(1+x)(1+x2)(1+x4)(1+x8)(1+x16)y(x) = (1 + x)(1 + {x^2})(1 + {x^4})(1 + {x^8})(1 + {x^{16}})y(x)=(1+x)(1+x2)(1+x4)(1+x8)(1+x16). Then y′−y′′y' - y''y′−y′′ at x=−1x = - 1x=−1 is equal to
  1. A
    496
  2. B
    976
  3. C
    464
  4. D
    944
PreviousNext

More from Differentiation

  • Let f:R→R be a differentiable function that satisfies the relation f(x+y)=f(x)+f(y)−1,∀x,y∈R. If f′(0)=2, then ∣f(−2)∣ is equal to ​.2023 · Numerical
  • Let f and g be the twice differentiable functions on R such that f′′(x)=g′′(x)+6xf′(1)=4g′(1)−3=9f(2)=3g(2)=12. Then which of the following is NOT true?2023 · MCQ
  • Let f1(x)=2x+33x+2​,x∈R−{2−3​} For n≥2, define fn(x)=f1ofn−1(x). If f5(x)=bx+aax+b​,gcd(a,b)=1…2023 · Numerical
  • Let y=f(x)=sin3(3π​(cos(32​π​(−4x3+5x2+1)23​))). Then, at x = 1,2023 · MCQ
  • If y=tan−1(secx3−tanx3),2π​<x3<23π​, then2022 · MCQ
  • Let f : R → R be defined as f(x)=x3+x−5. If g(x) is a function such that f(g(x))=x,∀′x′∈R, then g'(63) is equal to ​.2022 · MCQ
  • The value of loge​2dxd​(logcosx​cosecx) at x=4π​ is2022 · MCQ
  • Let f : R → R satisfy f(x+y)=2xf(y)+4yf(x), ∀ x, y ∈ R. If f(2) = 3, then 14.f′(2)f′(4)​ is equal to ​.2022 · Numerical