JEE Advanced 2020 Paper 2 Q7 Calculus problem simplied in few steps
This video covers a tricky problem on Calculus, in which concept of solving differentiable equation, increasing & decreasing function, even-odd function are used. This is taken from recently held JEE Advanced 2020 Paper II question number 7 and the question is
Let b be a nonzero real number. Suppose f: R → R is a differentiable function such that f(0) = 1. If the derivative f ′ of f satisfies the equation f’(x) = f(x)/(b^2 + x^2) for all x ∈ R, then which of the following statements is/are TRUE?
(A) If b 0, then f is an increasing function
(B) If b 0, then f is a decreasing function
(C) f(x)f(−x) = 1 for all x ∈ R
(D) f(x) − f(−x) = 0 for all x ∈ R
This video is suitable for the students aspiring for engineering entrance exam and is also suitable for CBSE, ISC, HSC, IB Board students and the students who have genuine interest in learning Calculus
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