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Question 1
For
Question 2
Consider the following statements:
1) If and both exist, then exists.
2) If exists, then both and must exist.
Which of the above statements is/are correct?
Question 3
Consider the following statements:
1) The function f(x) = x2 + 2 cos x is increasing in the interval (0, π)
2) The function is decreasing in the interval (-∞, ∞)
Which of the above statements is/are correct?
Question 4
Let then
Question 5
The function in the interval is,
Question 6
Suppose the function , is differentiable for all x.Then n can be any element of the interval
Question 7
Consider the following statements :
1) Derivative of may not exist at some point.
2) Derivative of may exist finitely at some point.
3) Derivative of may be infinite (geometrically) at some point.
Which of the above statements are correct?
Question 8
If then is
Question 9
The function is not defined at x = π. The value of f(π) so that f(x) is continuous at x = π is
Question 10
Consider the following functions:
1)
2)
Which of the above function is/are derivable at x = 0?
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CDS & DefenceMathematicsJul 9CDS & Defence