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If f : R → R be a differentiable function with f (0) = 1 and satisfying the equation f (x + y) = f (x) f' (y) + f' (x) f (y) for all x,y ∈ R. Then the value of loge (f (4)) is ____.
    Correct answer is '2'. Can you explain this answer?
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    If f :R → R be a differentiable function with f (0) = 1 and satis...
    According to the definition of function.

    Substitute x = 0 in the function.

    Substitute y = 0 in the function.

    Take log on both sides,
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    If f :R → R be a differentiable function with f (0) = 1 and satis...
    It seems like the question is incomplete. Can you please provide the complete question statement?
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    If f :R → R be a differentiable function with f (0) = 1 and satisfying the equation f (x + y) = f (x) f (y) + f (x) f (y) for all x,y∈ R. Then the value of loge (f (4)) is ____.Correct answer is '2'. Can you explain this answer?
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    If f :R → R be a differentiable function with f (0) = 1 and satisfying the equation f (x + y) = f (x) f (y) + f (x) f (y) for all x,y∈ R. Then the value of loge (f (4)) is ____.Correct answer is '2'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If f :R → R be a differentiable function with f (0) = 1 and satisfying the equation f (x + y) = f (x) f (y) + f (x) f (y) for all x,y∈ R. Then the value of loge (f (4)) is ____.Correct answer is '2'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f :R → R be a differentiable function with f (0) = 1 and satisfying the equation f (x + y) = f (x) f (y) + f (x) f (y) for all x,y∈ R. Then the value of loge (f (4)) is ____.Correct answer is '2'. Can you explain this answer?.
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