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<Ryan>
Lv 6
Using logarithmic differentiation?
How would I use logarithmic differentiation to find the derivative of this function?
y= (2x+1)^2(x+3)^3
1 Answer
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- ?Lv 77 years ago
y = (2x + 1)^2 (x + 3)^3
ln y = ln [(2x + 1)^2 (x + 3)^3]
ln y = ln (2x + 1)^2 + ln (x + 3)^3
ln y = 2 * ln (2x + 1) + 3 * ln (x + 3)
y'/y = 2 * (2/(2x+1)) + 3 * (1/(x+3))
y' = (2x + 1)^2 (x + 3)^3 * [4/(2x+1) + 3/(x+3)]
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