Найти производную! f' (x) = x^3-3x/1+4x^5f' (x) = 5-2x^6/1-x^3

Будем использовать:

y = f (g (x)), y' = f'u (u) * g'x (x), где u = g (x).

(x^n) ' = n * x^ (n-1).

(c) ' = 0, где c - const.

(c * u) ' = с * u', где с - const.

(sin (x)) ' = соs (x).

(соs (x)) ' = - sin (x).

(u ± v) ' = u' ± v'.

(uv) ' = u'v + uv'.

1) f (x) ' = (7x^2 + 5x + 4) ' = (7x^2) ' + (5x) ' + (2) ' = 7 * 2 * x + 5 + 0 = 14x + 5.

2) f (x) ' = (5x^4 - 2x^3 + (3 / 5) * x - 7) ' = (5x^4) ' - (2x^3) + ((3 / 5) * x) ' - (7) ' = 20x^3 - 6x^2 + (3 / 5).

3) f (x) ' = (8x^3 - 5x^2 - 4x + 2) ' = (8x^3) ' - (5x^2) ' - (4x) ' + (2) ' = 8 * 3 * x^2 - 5 * 2 * x - 4 + 0 = 24x^2 - 10x - 4.