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

1.	Find `(dy)/(dx)`, when: `y=(x^(5)sqrt(x+4))/((2x+3)^(2))`
Answer» Correct Answer - `(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))}.`

Discussion

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