## Differentiability Quiz-16

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background. Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced..
Differentiability Quiz-16
Q1.
•  0
•  log⁡2
•  4
•  log⁡4
Solution

Q2.
•  0
•  1/2
•  1/4
•  -1/2
Solution

Q3.
•   Everywhere continuous but not differentiable
•  Everywhere differentiable
•  Nowhere continuous
•  None of these
Solution

Q4.
•  lim┬(x→0)⁡〖f(x)〗 does not exist
•  lim┬(x→0)⁡〖f(x)〗=1
•  lim┬(x→0)⁡〖f(x)〗 exists but f(x) is not continuous at x=0
•  f(x) is continuous at x=0
Solution

Q5.
•  Everywhere continuous and differentiable
•  Everywhere continuous and but not differentiable at (2n+1) Ï€/2,n∈Z
•  Neither continuous nor differentiable at (2n+1) Ï€/2,n∈Z
•  None of these
Solution

Q6.
•  3
•  1t
• 2
•  0
Solution

Q7.
•  1
•  -1
•  2
•  3
Solution

Q8.
•  1
•  0
•  Infinite
•  Doesnot exist
Solution

Q9.
•  f and f' are continuous at x=0
•  f and f' are continuous at x=0
•  f is derivable at x=0 and f' is not continuous at x=0
•  f' is derivable at x=0
Solution

Q10.

•  Continuous at x=0
•  Discontinuous at x=1
•  Not differentiable at x=2,0
• All the above
Solution

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