The function f(x) = x3 - 6x2 + 3x + 25 has
A. | a maxima at x = 1 and a minima at x = 3 |
B. | a maxima at x = 3 and a minima at x = 1 |
C. | no maxima, but a _minima at x = 1 |
D. | a maxima at x = 1, but no minima |
Option: A Explanation :
f ' (x) = 3(x^{2} - 4x + 3), f '' (x) = 6(x) - 12 Click on Discuss to view users comments. |
Integration ∫ log x dx has the value
A. | x log x - 1 |
B. | log x - x |
C. | x(log x -1) |
D. | none of these |
Option: C Explanation :
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The integral
A. | diverges |
B. | converges to 1/3 |
C. | converges to - 1 / a^{3} |
D. | converges to 0 |
Option: B Explanation :
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