13.5-bo'lim : Differensiallar
2. Quyidagi funksiyaning differentsialini hisoblang.
\[f\left( {x,y,z} \right) = \ln \left( {\frac{{x{y^2}}}{{{z^3}}}} \right)\]Yechim
Bu yerda qiladigan ish ko‘p emas. Shuni esda tutingki, bu holatda farq,
\[df = {f_x}\,dx + {f_y}\,dy + {f_z}\,dz\]Differensial shundan iboratki,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{df = \frac{1}{x}dx + \frac{2}{y}\,dy - \frac{3}{z}dz}}\]