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Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,Then which of the following is true ?
  • a)
    f (x) is differentiable everywhere
  • b)
    f (x) is not differentiable at x = 0
  • c)
    f (x) > 1 for all x ∈ R
  • d)
    f (x) is not differentiable at x = 1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,...
Bcoz the graph of 1+x is neither sharp or broken at any point so, vontinous and differentiable everywhere
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Community Answer
Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,...

Hence, f (x) is differentiable everywhere for all x ∈ R.
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Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,Then which of the following is true ?a)f (x) is differentiable everywhereb)f (x) is not differentiable at x = 0c)f (x) > 1 for all x ∈ Rd)f (x) is not differentiable at x = 1Correct answer is option 'A'. Can you explain this answer?
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Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,Then which of the following is true ?a)f (x) is differentiable everywhereb)f (x) is not differentiable at x = 0c)f (x) > 1 for all x ∈ Rd)f (x) is not differentiable at x = 1Correct answer is option 'A'. 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 Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,Then which of the following is true ?a)f (x) is differentiable everywhereb)f (x) is not differentiable at x = 0c)f (x) > 1 for all x ∈ Rd)f (x) is not differentiable at x = 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f : R → R be a function defined by f (x) = min {x + 1,x+ 1} ,Then which of the following is true ?a)f (x) is differentiable everywhereb)f (x) is not differentiable at x = 0c)f (x) > 1 for all x ∈ Rd)f (x) is not differentiable at x = 1Correct answer is option 'A'. Can you explain this answer?.
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