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Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer?.

Solutions for Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.

Here you can find the meaning of Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer?, a detailed solution for Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? has been provided alongside types of Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let f:→ and g:→ be functions satisfying f(x+y) = f(x)+f(y)+f(x)f(y) and f(x) = xg(x) for all x,y∈. then which of the following statements is/are TRUE?a)f is differentiable at every x∈b)If g(0)=1, then gis differentiable at every x∈c)The derivative f′(1) is equal to 1 d)The derivative f′(0) is equal to 1Correct answer is option 'A,B,D'. Can you explain this answer? tests, examples and also practice JEE tests.