Verified answer

2) y=2-x²    x₀=4   y'=-2x   y'(x₀)=-2*4=-8

3) f(x)=3x²+2x    x₀=2

f(x₀)=3*4+2*2=16

f'(x)=6x+2   f'(x₀)=6*2+2=14

y=f(x₀)+f'(x₀)(x-x₀)   y=16+14(x-2)=14x-12