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
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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