Find the derivative of the function ( y=frac{3x^2sqrt{1-3x^4}}{e^{-6x}(3x+2)} ) using logarithmic differentiation. Provide your answer below: ( y' = square )
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First, we can simplify the function by taking the natural logarithm of both sides: ln(y) = ln(3x^2 * sqrt(1-3x^2) / e^(-6x) * (3x+2)) This simplifies to: ln(y) = ln(3x^2) + ln(sqrt(1-3x^2)) - ln(e^(-6x)) + ln(3x+2) Now, we can differentiate both sides with Show more…
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