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1 . The function f(x) = x3 - 6x2 + 9x + 25 has
A. a maxima at x = 1, but no minima
B. no maxima, but a minima at x = 1
C. a maxima at x= 1 and a minima at x = 3
D. a maxima at x = 3 and a minima at x = 1

2 . The interval in which the Lagrange's theorem is applicable for the function f(x) = 1/x is
A. [-1, 1] B. [2, 3]
C. [-2, 2] D. [-3, 3]

3 . If f(x) = | x | , then for interval [-1, 1] ,f(x)
A. does not satisied the -conditions of Mean Value Theorem
B. satisfied all the conditions of Mean Value Theorem
C. satisied all the conditions of Rolle's Theorem
D. None of these

4 . Integration ∫ log x dx has the value
A. log x - x B. x log x - 1
C. x(log x -1) D. none of these

5 . The function f(x) = x3 - 6x2 + 3x + 25 has
A. no maxima, but a _minima at x = 1
B. a maxima at x = 1, but no minima
C. a maxima at x = 3 and a minima at x = 1
D. a maxima at x = 1 and a minima at x = 3




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