JEE Advanced 2020 Paper 2 Q9 Solution (Hindi)
This video from covers a highly challenging problem on differentiability of function asked in JEE Advanced 2020 Paper II in very few step with simplified manner.
Let f: R → R and g: R → R be functions satisfying f(x + y) = f(x) + f(y) + f(x)f(y) and f(x) = xg(x) for all x, y ∈ R. If limx→0 g(x) = 1, then which of the following statements is/are TRUE?
(A) f is differentiable at every x ∈ R
(B) If g(0) = 1, then g is differentiable at every x ∈ R
(C) The derivative f′ (1) is equal to 1
(D) The derivative f′(0) is equal to 1
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 coordinate geometry
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