Consider a differentiable f: R \to R for which f^{'}(0)=\ln 2 and f(x+y)=2^{x} f(y)+4^{y} f(x) \forall x, y \in R. Which of the following is(are) correct

the minimum value of y=f(x) is -\frac{1}{4}

the number of solution of f(x)=2 is 1

JEE Advanced 2020 Full Test 1 Paper 2

Question : 45 of 54

Marks: +1, -0

Consider a differentiable f:R→R for which f′(0)=ln‌2 and f(x+y)=2xf(y)+4yf(x)‌∀x,y∈R. Which of the following is(are) correct

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