Find (dy)/(dx), when: y=(2x+3)^(5)(3x-...

Find `(dy)/(dx)`, when:
`y=(2x+3)^(5)(3x-5)^(7)(5x-1)^(3)`

Text Solution

Verified by Experts

The correct Answer is:

`(2x+3)^(5)(3x-5)^(7)(5x-1)^(3).[(10)/((2x+3))+(21)/((3x-5))+(15)/((5x-1))]`

`logy=5log(2x+3)+7log(3x-5)+3log(5x-1)`
`rArr(1)/(y).(dy)/(dx)={(5)/((2x+3)).2+(7)/((3x-5)).3+(3)/((5x-1)).5}.`

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