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Find (dy)/(dx), when: y=sqrt((x-2)(2x-...

Find `(dy)/(dx)`, when:
`y=sqrt((x-2)(2x-3)(3x-4))`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)sqrt((x-2)(2x-3)(3x-4)).{(1)/((x-2))+(2)/((2x-3))+(3)/((3x-4))}`
`logy=(1)/(2).{log(x-2)+log(2x-3)+log(3x-4)}`
`rArr(1)/(y).(dy)/(dx)=(1)/(2){(1)/((x-2))+(2)/((2x-3))+(3)/((3x-4))}.`
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