Asosiy tarkibga o'tish

13.5-bo'lim : Differensiallar

1. Quyidagi funksiyaning differentsialini hisoblang.

\[z = {x^2}\sin \left( {6y} \right)\]
Yechim

Bu yerda qiladigan ish ko‘p emas. Shuni esda tutingki, bu holatda farq,

\[dz = {z_x}\,dx + {z_y}\,dy\]

Differensial shundan iboratki,

\[\require{bbox} \bbox[2pt,border:1px solid black]{{dz = 2x\sin \left( {6y} \right)\,dx + 6{x^2}\cos \left( {6y} \right)\,dy}}\]