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Find (dy)/(dx), when: y=(x^(5)sqrt(x+4...

Find `(dy)/(dx)`, when:
`y=(x^(5)sqrt(x+4))/((2x+3)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(5)sqrt(x+4))/((2x+3)^(2)).{(5)/(x)+(1)/(2(x+4))-(4)/((2x+3))}`
`logy=5logx+(1)/(2)log(x+4)-2log(2x+3)`
`rArr(1)/(y).(dy)/(dx)={(5)/(x)+(1)/(2(x+4))-(4)/((2x+3))}.`
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