4.12-bo'lim: Differensiallar
1 – 3 masalalar uchun berilgan funksiyaning differentsialini hisoblang.
- \(f\left( x \right) = {x^2} - \sec \left( x \right)\) Yechim
- \(w = {{\bf{e}}^{{x^{\,4}} - {x^{\,2}} + 4x}}\) Yechim
- \(h\left( z \right) = \ln \left( {2z} \right)\sin \left( {2z} \right)\) Yechim
- \(y = {{\bf{e}}^{{x^{\,2}}}}\) uchun \(dy\) va \(\Delta y\) ni hisoblang, chunki x 3 dan 3.01 ga o'zgaradi. Yechim
- X 6 dan 5,9 gacha o'zgarganda \(y = {x^5} - 2{x^3} + 7x\) uchun \(dy\) va \(\Delta y\) ni hisoblang. Yechim
- Kubning tomonlari uzunligi 6 fut, xatosi 1,5 dyuymdan oshmaganligi aniqlandi. Hajmni hisoblash uchun tomon uzunligining ushbu qiymatidan foydalansak, kub hajmida mumkin bo'lgan maksimal xato qanday bo'lishi mumkin? Yechim