Отыскать производные z=1/x+y-5

f(х) = ((1 / 2) * х^2 (1 / 5) * х^5) = ((1 / 2) * х^2) ((1 / 5) * х^5) = (1 / 2) * 2 * х^(2 - 1) (1 / 5) * 5 * х^(5 - 1) = 1 * х^1 1 * х^4 = х х^4.

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

f(х) = (3 2х + 4х^2 7х^3) = (3) (2х) + (4х^2) (7х^3) = 0 2 * х^(1 1) + 4 * 2 * х^(2 - 1) 7 * 3 * х^(3 1) = -2 * х^0 + 8 * х^1 21 * х^2 = -2 + 8х 21х^2.

f(х) = (х^5 + х^3 х^2 1) = (х^5) + (х^3) (х^2) (1) = 5 * х^(5 1) + 3 * х^(3 1) 2 * х^(2 1) 0 = 5х^4 + 3х^2 2х.

f(х) = (-5х^2 13х + 6) = (-5х^2) (13х) + (6) = -5 * 2 * х^(2 1) 13 * х^(1 1) 0 = -10х 13.

f(х) = (х^5 + 20х^2) = (х^5) + (20х^2) = 5 * х^(5 1) + 20* х^(2 1) = 5 * х^4 + 20 * х^1 = 5х^4 + 20х.