SOLUTION: Use the logarithmic differentiation to differentiate the function
y= ∛((x(x+1)(x-2))/((x^2-2)(2x+3)))
with details please.
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Question 965961: Use the logarithmic differentiation to differentiate the function
y= ∛((x(x+1)(x-2))/((x^2-2)(2x+3)))
with details please.
Answer by t0hierry(194) (Show Source): You can put this solution on YOUR website!
logy = 1/3(log x + log(x+1) + log(x-2) - log(x^2-2) - log(2x+3))
take derivative
y'/y = 1/3 (1/x + 1/x+1 + 1/x-2 - 2x/x^2-2 - 2/2x + 3)
y' = 1/3 (1/x + 1/x+1 + 1/x-2 - 2x/x^2-2 - 2/2x + 3) y
where y= ∛((x(x+1)(x-2))/((x^2-2)(2x+3)))
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