Найдите производную функции: 1) f (x) = 4x^3-3x^2+7x-8 2) g (x) = 2sinx + 8x^3 + lnx 3) y = (4x-7) ^4

1) f (x) = 4x³ - 3x² + 7x - 8,

f (x) ' = 4x^3' - 3x^2' + 7x' - 8' = 4 * 3x² - 3 * 2x + 7 - 0 = 12x² - 6x + 7;

2) g (x) = 2sinx + 8x³ + lnx,

g (x) ' = 2sin'x + 8x^3' + ln'x = 2cosx + 8 * 3x² + 1/х = 2cosx + 24x² + 1/х;

3) y = (4x - 7) ⁴,

y' = (4x - 7) ^4' = (4x - 7) ³ * (4x - 7) ' = (4x - 7) ³ * 4.