A)f'(x)=(2tgx)'=2*(1/cos²x), f'(-3π/4)=2*(1/cos²(-3π/4)=2*(-2/√2)²=4
б)
, f'(-2)=11/1=11
в)
,
г)f'(x)=(sin(3x-π/4))'=3*cos(3x-π/4), f'(π/4)=3*cos(3*(π/4)-π/4)=3*cos(π/2)=0
д)f'(x)=(tg6x)'=6*(1/cos²(6x)), f'(π/24)=6*(1/cos²(6*π/24)=6*(1/cos²π/4)=6*(2/√2)²=6*4/2=12
б)
в)
г)f'(x)=(sin(3x-π/4))'=3*cos(3x-π/4), f'(π/4)=3*cos(3*(π/4)-π/4)=3*cos(π/2)=0
д)f'(x)=(tg6x)'=6*(1/cos²(6x)), f'(π/24)=6*(1/cos²(6*π/24)=6*(1/cos²π/4)=6*(2/√2)²=6*4/2=12