Question

Найти производную функции

1) F(x)=(4+1/x^2)^3

2) f(x)=(5-4/x)^2

Answer 1

1) f'(x)=3*(4+ 1/x²)² * (4+1/x²)' = 3*(4+ 1/x²)²  * (-2/x)=-6/x*(4+ 1/x²)² 

2)f'(x)=2*(5-4/x) * (5-4/x)' = 2*(5-4/x)* 4/x²=8/x²*(5-4/x)=40/x²-32/x³