14.1-bo'lim : Tangens tekisliklar va chiziqli yaqinlashishlar

1. \(\left( { - 1,6} \right)\) da \(\displaystyle z = {x^2}{y^4} - \frac{{12x}}{y}\) ga teguvchi tekislik tenglamasini toping.
2. \(\displaystyle \left( { - \frac{1}{2},4} \right)\) da \(z = \ln \left( {{x^2}y} \right) - x\,\sqrt y \) ga teguvchi tekislik tenglamasini toping.
3. \(\left( {0,1} \right)\) da \(z = {{\bf{e}}^{x\,y}} + {y^2}{{\bf{e}}^{1 - y}}\) ga teguvchi tekislik tenglamasini toping.
4. \(\left( { - 2,0} \right)\) da \(z = \cos \left( {\sin \left( y \right) - x} \right)\) ga chiziqli yaqinlashishni toping.
5. \(\left( {4, - 1} \right)\) da \(\displaystyle z = \frac{{10{x^2}}}{{x - y}}\) ga chiziqli yaqinlashishni toping.