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 h (-2)

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 - 2 х.

y' = ((2 х^2 + 1) * e^х) ' = (2 х^2 + 1) ' * e^х + (2 х^2 + 1) * (e^х) ' = ((2 х^2) ' + (1) ') * e^х + (2 х^2 + 1) * (e^х) ' = (2 * 2 * х^ (2 - 1) + 0) * e^х + (2 х^2 + 1) * e^х = 4 х * e^х + (2 х^2 + 1) * e^х = (2 х^2 + 4 х + 1) * e^х.

f (х) ' = (х - 1) ' = (х) ' - (1) ' = (1 * х^0) - 0 = 1 * 1 - 0 = 1 - 0 = 1.

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