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Find the intervals of monotonicity for t...

Find the intervals of monotonicity for the following fucntions.
`(i) (x^(4))/(4)+(x^(3))/(3)-3x^(2)+5 " "(ii) log_(3)^(2) x+ log_(3)x`

Text Solution

Verified by Experts

The correct Answer is:
`(i) M.D. " in " (-oo,-3)`
`M.I." in " [-3,0]`
`M.D. " in "[0,2]`
`M.I." in " [2,oo)`
`(ii) M.D. " in" (0,(1)/(sqrt(3))] " ";" "M.I." in "[(1)/(sqrt(3)),oo)`
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