Question

Найдите угол наклона кривой в заданной точке.

Answer 1

у = Sin⁴x - Cos⁴x =(Sin²x - Cos²x)(Sin²x + Cos²x)= Sin²x - Cos²x = -Cos2x
y = - Cos2x
y' = 2Sin2x
y' = 2Sin(2*π/12) = 2*Sinπ/6 = 2*1/2 = 1 = tgα, α = π/4

Answer 2

tga=y`(x0)
y=-cos2x
y`=2sin2x
y`(π/12)=2sinπ/6=2*1/2=1
tga=1
a=π/4