Q.1
Which of the following is true?
  • a) Differentiability does not imply continuity
  • b) Differentiability implies continuity
  • c) Continuity implies differentiability
  • d) There is no relation between continuity and differentiable
Q.2
Which of the following is correct about the function f(x)=|x+5|?
  • a) Left and right limits are equal and hence it is differentiable
  • b) Left and right limits are not equal and hence it is differentiable
  • c) Left and right limits are equal and hence it is not differentiable
  • d) Left and right limits are not equal and hence it is not differentiable
Q.3
Which of the following is correct about the function f(x)=|x2+18x+81|?
  • a) Left and right limits are equal and hence it is differentiable
  • b) Limits are not important to determine differentiability
  • c) Left and right limits are equal and hence it is not differentiable
  • d) Left and right limits are not equal and hence it is not differentiable
Q.4
Which of the following is true about f(z)=z2?
  • a) Continuous and differentiable
  • b) Continuous but not differentiable
  • c) Neither continuous nor differentiable
  • d) Differentiable but not continuous
Q.5
Which of the following is true about f(z)=z+iz?
  • a) Continuous and differentiable
  • b) Continuous but not differentiable
  • c) Neither continuous nor differentiable
  • d) Differentiable but not continuous
Q.6
Which of the following is true about f(z)=z2+2z?
  • a) Continuous and differentiable
  • b) Continuous but not differentiable
  • c) Neither continuous nor differentiable
  • d) Differentiable but not continuous
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