Calc
posted by Lost One .
find the derivative of y =(x+3)^3 / sqrt(x^2 1) using logarithmic differentation.

y =(x+3)^3 / √(x^2 1)
lny = 3ln(x+3)  1/2 ln(x^21)
1/y y' = 3/(x+3)  x/(x^21)
1/y y' = (3(x^21)  x(x+3))/((x+3)(x^21))
1/y y' = (2x^23x3)/((x+3)(x^21))
y' = (x+3)^3 / √(x^2 1) * ((2x^23x3)/((x+3)(x^21)))
= ((x+3)^2 * (2x^23x3))/(x^21)^(3/2)