F'(x)= tg (П/4-x)'= f'(x)=(-3п/4)

1. f'(x)=(4x³-2x-40)'=12x²-2 f'(3)=12*3²-2, f'(3)=106 2. y=10+sin3x E(sinx)=[-1;1] E(10+sin3x)=10+[-1;1] E(10+sin3x)=[9;11] 3. 5sin²(3π/4)-3cos²(π/3)+tgπ=5*(√2/2)²-3*(1/2)²+0=5*(2/4)-3*(1/4)=10/4-3/4=7/4 4. f'(x₀)=tgα f'(x)=(2x²-5x)'=4x-5 x₀=2 f'(2)=4*2-5, f'(x)=3 tgα=3