Xy^2-y^3=4x-5 Найдите производную

y\' = ((2х^2 + 1) * e^х)’ = (2х^2 + 1)’ * e^х + (2х^2 + 1) * (e^х)’ = ((2х^2)’ + (1)’) * e^х + (2х^2 + 1) * (e^х)’ = (2 * 2 * х^(2 – 1) + 0) * e^х + (2х^2 + 1) * e^х = 4х * e^х + (2х^2 + 1) * e^х = (2х^2 + 4х + 1) * e^х.

f(х)\' = ((2х + 1) * e^х)’ = (2х + 1)’ * e^х + (2х + 1) * (e^х)’ = ((2х)’ + (1)’) * e^х + (2х + 1) * (e^х)’ = (2 + 0) * e^х + (2х + 1) * e^х = (2 + 2х + 1) * e^х = (2х + 3) * e^х.

f(х)\'\' = ((2х + 3) * e^х)’ = (2х + 3)’ * e^х + (2х + 3) * (e^х)’ = ((2х)’ + (3)’) * e^х + (2х + 3) * (e^х)’ = (2 + 0) * e^х + (2х + 3) * e^х = (2 + 2х + 3) * e^х = (2х + 5) * e^х.