ПРОИЗВОДНАЯ СРОООЧНОООО 5,6,7,8
5. f'(x) = cos(3x) * (3x)' = cos(3x) * 3 = 3cos(3x) при х0=π/12 f'(x0) = 3cos(3* π/12) = 3cos(π/4) = 3* √2/2 = 3√2 / 2 6. f'(x) = 1/2 * 2x = x при х0 = 1 f'(x0) = 1 7. f'(x) = 1/4 * (-4)/(x^5) = -1/x^5 при х0 = 1 f'(x0) = -1/1^5 = -1 8. f'(x) = 2/3 * x√x = 2/3 * x^1 * x^(1/2) = 2/3 * x^(1 + 1/2) = 2/3 * x^(2/2 + 1/2) =
продолжение
= 2/3 * x^(3/2)
f'(x) = 2/3 * 3/2 * x^(3/2 - 1) = x^(3/2 - 2/2) = x^(1/2) = √x
при х0=3
f'(x0) = √3