Question

Вычислить производную x^sin(x^3)

Answer 1

Lny = lnx^sin(x^3)
ln y =  sin(x^3) * lnx
1/y * y' =  cos(x^3) * 3x^2 * lnx + sin(x^3)*(1/x)
y' =  cos(x^3)*3x^2*lnx+sin(x^3)*(1/x)