Let , where x (0, 1). Then which one of the following is correct ?
f(x) fluctuates in the interval
f(x) increases in the interval
f(x) decreases in the interval
None of the above
Which one of the following is correct in respect of the function f(x) = x(x - 1)(x + 1) ?
The local maximum value is larger than local minimum value
The local maximum value is smaller than localminimum value
The function has no local maximum
The function has no local minimum
Consider the function
where, x
Which one of the following statements is correct ?
f(X) has local minima at more than one point in
f(x) has local maxima at more than one point in
f(x) has local minimum at one point only in
(x) has neither maxima nor minima in
Consider the function
What is the number of points of local minima of the function f(x) ?
None
One
Two
Three
Consider the function
What is the number of points of local maxima of the function f(x) ?
None
one
Two
Three
Consider the function
f(x) =
where, p is a constant
What is the value of P for which f''(0) = 0 ?
- 1 or 0
- 1 or 1
Which one of the following statements is correct in respect of the function
f(x) = x3sin(x) ?
It has local maximum at x = 0
It has local minimum at x = 0
It has neither maximum nor minimum at x = 0
It has maximum value 1
B.
It has local minimum at x = 0
Which of the following statements is/are correct ?
Select the correct answer using the code given below :
1 only
2 only
Both 1 and 2
Neither 1 nor 2
What is the value of k for which the sum of the squares of the roots of 2x2 – 2(k - 2)x – (k + 1) = 0 is minimum ?
- 1
1
2