logarithmic differentiation

Logarithmic differentiation makes it easier to differentiate complex functions. This method is particularly useful for functions with variable exponents or intricate products. You might encounter logarithmic differentiation when calculating compound interest, analysing population growth models or optimising processes in engineering and physics. At first sight, you would see that you need to use the quotient rule. You may also realise that you will need to use the product rule to differentiate the denominator. But if you take this approach, you will find that it gets very tricky very quickly. Logarithmic differentiation makes this much easier to handle. Differentiate this function with respect to 𝑥 to assess how rapidly these shading effects change. RMIT University acknowledges the people of the Woi wurrung and Boon wurrung language groups of the eastern Kulin Nation on whose unceded lands we conduct the business of the University. RMIT University respectfully acknowledges their Ancestors and Elders, past and present. RMIT also acknowledges the Traditional Custodians and their Ancestors of the lands and waters across Australia where we conduct our business - Artwork 'Sentient' by Hollie Johnson, Gunaikurnai and Monero Ngarigo.