JEE Mains 2025 PYQ | Let f: [0, o) - R be differentiable function such thatf(x) = 1-2x + Joer-tf(t)

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JEE Mains 2025 PYQ | Let f: R R be a twice differentiable function such that f (x + y) = f(x).f(y)

Let f : S → S where S = (0, ∞) be a twice differentiable function such that f(x+1) = x f(x). If

JEE MAIN 25 APRIL 2025 Let f :[0, )    be a differentiable function such that0( ) 1 2 ( )xx t f x

Jee Mains 2025 | Let f(x) be a real valued function such that f(0)=1 & f(x+y)=f(x)f'(y)+f'(x)f(y)

Let f be a differentiable function such that f(1) = 2 and f'(x) =f(x) for all x∈R. If h(x) = f(f(x))

Let f:[0,∞)→R be differentiable function such that f(x) = 1-2x+∫₀ˣ e^x-t f(t) dt for all x∈[0,∞).

Let f(x) be a real differentiable function such that f(0) = 1 andf(x + y) = f(x) f′(y) + f′(x) f(y).

Let f : R → R be a twice differentiable function such that f(2) =1 . If F(x) = xf(x) ∀x∈R,