## Differentiability Quiz-11

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-11
Q1.
•  R
•  R-{-2}
•  R-{-1}
•  R-(-1,-2)
Solution

Q2.Let f(x+y)=f(x)f(y) for all x,y∈R. Suppose that f(3)=3 and f'(0)=11 then, f'(3) is equal to
•  22
•  44
•  28
•  None of these
Solution
(d)

Q3.
•   -1/16
•  -1/32
•  -1/64
•  -1/28
Solution

Q4. The set of points where the function f(x)=x|x| is differentiable is
•  (-∞,∞)
•  (-∞,0)∪(0,∞)
•  (0,∞)
•  [0,∞)
Solution

Q5.The value of f(0) so that ((-ex+2x))/x may be continuous at x=0 is
•  log⁡(1/2)
•  0
•  4
•  -1+log⁡2
Solution

Q6.
•  a 2
•  2a 2
• 3a 2
•  4a 2
Solution

Q7. f(x)=x+|x| is continuous for
•  x∈(-∞,∞)
•  b) x∈(-∞,∞)-{0}
•  Only x>0
•  No value of x
Solution

Q8.
•  Continuous and differentiable
•  Differentiable but not continuous
•  Continuous but not differentiable
•  Neither continuous nor differentiable
Solution

Q9.If f(x)=[x sin⁡Ï€ x], then which of the following is incorrect?
•  (1/2, 1/2)
•  (0, -1)
•  (0, 2)
•  (1, 0)
Solution

Q10. If f(x)=[x sin⁡Ï€ x], then which of the following is incorrect?
•  f(x) is continuous at x=0
•  f(x) is continuous in (-1,0)
•  f(x) is differentiable at x=1
• f(x) is differentiable in (-1,1)
Solution

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Differentiability Quiz-11