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Statement 1: The sum, difference and product of two continuous functions are also continuous…

Mathematics20261 markMCQ
Statement 1: The sum, difference and product of two continuous functions are also continuous. Statement 2: The function $f(x)$ is differentiable on $(a, b)$ implies that the function $f(x)$ is differentiable on $[a, b]$. Which one of the following is correct?
  • aStatement 1 is true and Statement 2 is false.
  • bStatement 2 is true and Statement 1 is false.
  • cBoth the statements are true.
  • dBoth the statements are false.

Answer

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Continuity, Differentiability and Differentiation

From ISC 2026 Improvement Mathematics Paper 1, question 1(vi).