Question

Производная функций 1) y= x^4/3-x, 2) y=x^2+ctgx, 3) y=1/sinx

Answer 1

1) (x^4/(3-x))=((4x^3(3-x)-x^4))/(3-x)^2=(12x^3-3x^4)/(3-x)^2
2)2x-1/sin^2x\
3) (1/sinx)'=-cosx/sin^2x=-ctgx/sinx