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Limits Continuity and Differentiability · 2021 · 16 Mar · Shift 2

3 Mathematics questions from this JEE Main paper
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Limits Continuity and Differentiability · 2021 · 16 Mar · Shift 2

3 Mathematics questions from this JEE Main paper

  1. Q29.Let f : S → S where S = (0, ∞) be a twice differentiable function such that f(x + 1) = xf(x). If g : S → R be defined as g(x) = loge f(x), then the value of |g''(5) − g''(1)| is equal to :
    Mathematics · Limits Continuity and Differentiability · MCQ
  2. Q35.Let α∈ R be such that the function f(x)={{x}−{x}3cos−1(1−{x}2)sin−1(1−{x})​,α,​xe0x=0​…
    Mathematics · Limits Continuity and Differentiability · MCQ
  3. Q43.Let f : R → R and g : R → R be defined as f(x)={x+a,∣x−1∣,​x<0x≥0​ and g(x)={x+1,(x−1)2+b,​x<0x≥0​…
    Mathematics · Limits Continuity and Differentiability · Numerical