An alternative to repeated product rule for many factors is:

Question

Accepted Answer

B. Log differentiation

1. Taking logs turns products into sums.
2. Differentiating the sum is then far easier.
3. That method is logarithmic differentiation.
4. So the answer is log differentiation.
_Source: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_

Answer

Partial fractional

Answer

Chain integration

Answer

Implicit summation

An alternative to repeated product rule for many factors is:

Keep practising Continuity, Differentiability & Derivatives