1.

Shows that the following functions do not possess maximum or minimum. x^3

Answer»

Solution :`y = x^3`
`dy./dx = 3x^2, (d^2y/dx^2 = 6x`
For extremum
`dy/dx = 0 RARR 3x^2 = 0 rArr x = 0`
`(d^2y)/dx^2]_(x=0) = 0`
Thus the function does not POSSESS a MAXIMUM or a minimum.


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