Question

Пожалуйста, помогите решить

Answer 1

1) f(x) = -6x⁴ + 5x³ + 3x² + 3

f'(x) = -24x³ + 15x² + 6x

f'(x₀) = f'(1) = - 24 * 1³ + 15 * 1² + 6 * 1 = - 24 + 15 + 6 = - 3

2) f(x) = xCosx

f'(x) = x' * Cosx + x * (Cosx)' = Cosx - xSinx

f'(x₀)=f'(π/2) = Cosπ/2 -π/2 * Sinπ/2 = 0 - π/2 * 1 = - π/2