Question

Calculate the derivative of y=4log(base3)(x^2-1)

Answer 1

Differentiate \[y=4\log_{3} (x ^{2}-1)\]

Answer 2

since \[\log_b(x)=\frac{\ln(x)}{\ln(b)}\] by the change of base formula, you have
\[\frac{d}{dx}\log_b(x)=\frac{1}{x\ln(b)}\]

Answer 3

So it would be
\[\frac{ 1 }{ (x ^{2} -1)\ln 3}\]

Answer 4

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