Найдите производную функции: 1. f(x) = 2x^3-x^2-7x 2. f(x) = 2tgx 3. g(x) = 2/x^3 + 7 4. h(x) = (1+4x)/(x+3) вычислить

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.

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)\' = (х – 1)’ = (х)’ – (1)’ = (1 * х^0) – 0 = 1 * 1 – 0 = 1 – 0 = 1.

f(х)\' = (1 – 2х – 3х^2)’ = (1)’ – (2х)’ – (3х^2)’ = 0 – 2 – 3х = -2 – 3х.