3.9-bo'lim : Zanjir qoidasi
5. \(G\left( x \right) = 2\sin \left( {3x + \tan \left( x \right)} \right)\) ni farqlang.
Yechim
Ushbu muammo uchun tashqi funktsiya (umid qilamanki) aniq sinus funktsiyasi va ichki funktsiya trig funktsiyasi ichidagi narsadir. Demak, hosila,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{G'\left( x \right) = 2\left( {3 + {{\sec }^2}\left( x \right)} \right)\cos \left( {3x + \tan \left( x \right)} \right)}}\]