Question

Найдите значение производной функции F(x) в точке x0= 0
1) f(x)= sin(x^3+x-pi(пи)/4)
2) f(x)= tg(x^2+pi/6)

Answer 1

1) f(x)= sin(x^3+x-pi/4)
f`(x)=(3x²+1)*cos(x³+x-π/4)
f`(0)=1*cosπ/4=√2/2

2) f(x)= tg(x^2+pi/6)
f`(x)=2x/cos²(x²+π/6)
f`(0)=0/(√3/2)=0