Производную найти - x ^ 4

f(х)\' = (4 * (х – 5)^(1 / 2))’ = 4 * (х – 5)’ *((х – 5)^(1 / 2))’ = 4 * ((х)’ – (5)’) *((х – 5)^(1 / 2))’ = 4 * (1 – 0) * (1 / 2) * (х – 5)^(-1 / 2) = 2 / √(х – 5). f(х)\' = (8^х + e^х)’ = (8^х)’ + (e^х)’ = 8^х * ln 8 + e^х. f(х)\' = (e^х – х^2)’ = (e^х)’ – (х^2)’ = e^х – 2 * х^(2 – 1) = e^х – 2 х^1 = e^х – 2 * х = e^х – 2х.

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.