3.9-bo'lim : Zanjir qoidasi
1. \(f\left( x \right) = {\left( {6{x^2} + 7x} \right)^4}\) ni farqlang.
Yechim
Ushbu muammo uchun tashqi funktsiya (umid qilamanki) qavsdagi 4 ning ko'rsatkichi, ichki funksiya esa kuchga ko'tarilayotgan ko'phaddir. Demak, hosila,
\[f'\left( x \right) = 4{\left( {6{x^2} + 7x} \right)^3}\left( {12x + 7} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{4\left( {12x + 7} \right){{\left( {6{x^2} + 7x} \right)}^3}}}\]