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Choose the correct option.

Consider the graph y = x^(1/3) Statement 1: The above graph is continuous at x = 0 Statement 2: The…

Consider the graph $y = x^{1/3}$ Statement 1: The above graph is continuous at $x = 0$ Statement 2: The above graph is differentiable at $x = 0$ Which of the following is correct?
  • (a)Statement 1 is true, and Statement 2 is false.
  • (b)Statement 2 is true, and Statement 1 is false.
  • (c)Both the statements are true.
  • (d)Both the statements are false.
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Correct option: (a)

(a) Statement 1 is true, and Statement 2 is false.