Calculus

1:

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

 

Answer : A

Explanation :

f ' (x) = 3(x2 - 4x + 3), f '' (x) = 6(x) - 12
At     x = 1, f "(1)
At     x = 3, f " (3) = + ve 

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Option: A

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