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Given the following statements about a function f: R→R, select the right option:
P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0
Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0
R : If f(x) is continuous at x = x0, then it is also different at x = x0
  • a)
    P is true, Q is false, R is false
  • b)
    P is false, Q is true, R is true
  • c)
    P is false, Q is true, R is false
  • d)
    P is true, Q is false, R is true
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Given the following statements about a function f: R→R, select th...
Since continuous function may not be differentiable. But differentiable function is always continuous.
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Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer?
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Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer?.
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Here you can find the meaning of Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Given the following statements about a function f: R→R, select the right option:P : If f(x) is continuous at x = x0, then it is also differentiable at x = x0Q : If f(x) is continuous at x = x0, then it may not be differentiable at x = x0R : If f(x) is continuous at x = x0, then it is also different at x = x0a)P is true, Q is false, R is falseb)P is false, Q is true, R is truec)P is false, Q is true, R is falsed)P is true, Q is false, R is trueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
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