Решить диф-ое уравнение 1)y'=5x^4-8x^3 2)y'=√x (3-7/x) 3)y'=√x+1 4)y'=e^2x -cos3x 5)y'=√x/5 +4sin (4x+2)

1) f(x)\' = (8x^2 – 12x^3 + 6 – 9x)’ = (8x^2)’ – (12x^3)’ + (6)’ – (9x)’ = 8 * 2 * x – 12 * 3 * x^2 + 0 – 9 = 16x – 36x^2 – 9.

2) f(x)\' = (3x - (ln x))’ = (3x)’ - (ln x)’ = 3 * x^(1 – 1) – (1 / x) = 3 * x^(0) – (1 / x) = 3 * 1 – (1 / x) = 3 – (1 / x).

3) f(x)\' = (3x^3 – 5x + 4)’ = (3x^3)’ – (5x)’ + (4)’ = 3 * 3 * x^2 – 5 * 1 + 0 = 9x^2 – 5.

4) f(х)\' = (соs^2 (х / 3))’ = (х / 3)’ * (соs (х / 3))’ * (соs^2 (х / 3))’ = (1 / 3) * (-sin (х / 3)) * 2 * (соs (х / 3)) = (2 / 3) * (-sin (х / 3)) * (соs (х / 3)).

5) f(х)\' = (sin^3 (2 - 3х))’ = (2 - 3х)’ * (sin (2 - 3х))’ * (sin^3 (2 - 3х))’ = ((2)’ – (3х)’) * (sin (2 - 3х))’ * (sin^3 (2 - 3х))’ = (0 – 3) * (соs (2 - 3х)) * 3 * (sin^2 (2 - 3х)) = (-3) * (соs (2 - 3х)) * 3 * (sin^2 (2 - 3х)) = (-9) * (соs (2 - 3х)) * (sin^2 (2 - 3х).