Describe the algebraic advantage of taking the natural logarithm of both sides before…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Describe the algebraic advantage of taking the natural logarithm of both sides before differentiating a function such as

y = \dfrac{(x^{2}+1)^{5}\sqrt{3x-1}}{e^{x}}

. In one or two sentences, identify the property used and explain how it streamlines the differentiation process.