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0 votes
16.6k views
in Mathematics by (34.9k points)

The maximum slope of the curve (1/2)x4-5x3+18x2-19x occurs at the point

(1) (2, 2)

(2) (0, 0)

(3) (2, 9)

(4) (3, 21/2)

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1 Answer

+1 vote
by (34.4k points)

Correct option is (1) (2,2)

dy/dx = 2x- 15x2 + 36x -19

Since, slope is maximum so,

d2y/dx2 = 6x2 - 30x + 36 = 0

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