If x + y = k, x > 0, y > 0, then xy is maximum when
A. | x = ky |
B. | kx = y |
C. | x = y |
D. | None of these |
Option: C Explanation : Click on Discuss to view users comments. |
Which of the following is correct ?
A. | f(a) is an extreme value of f(x) if f '(a)=0 |
B. | If f(a) is an extreme value of f(x), then f '(a) = 0 |
C. | If f '(a) = 0, then f (a) is an extreme value of f(x) |
D. | all of these |
Option: D Explanation : Click on Discuss to view users comments. |
Let f(x) = lxl, then
A. | f'(0) = 0 |
B. | f(x) is maximum at x = 0 |
C. | f(x) is minimum at x = 0 |
D. | None of these |
Option: D Explanation : Click on Discuss to view users comments. |
The maxima and minima of the function
f(x) = 2x3 - 15x2 + 36x + 10 occur respectively at
A. | x= 3 and x = 2 |
B. | x = 1 and x = 3 |
C. | x = 2 and x = 3 |
D. | x = 3 and x = 4 |
Option: C Explanation :
f(x)=2x^{3}-15x^{2}+36x+10
Putting these values of x in equation (ii), we get
f '(3) = 36 - 30 = + 6 positive
Hence minimum value = 3
f ' (2) = 24 - 30 = - 6 negative, hence maximum value = 2
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