Пошаговое объяснение:
((12-5x)⁶)'=6*(12-5x)⁵*-5=-30*(12-5x)⁵.
(tg(5x²-1)'=(-tg(1-5x²))'=-(tg(1-5x²))'=-(1/cos²(1-5x²))*(1-5x²)'=
=-(1/cos²(1-5x²))*(-10*x)=10x/(cos²(1-5x²))=10x*sec²(1-5x²).
Пошаговое объяснение:
((12-5x)⁶)'=6*(12-5x)⁵*-5=-30*(12-5x)⁵.
(tg(5x²-1)'=(-tg(1-5x²))'=-(tg(1-5x²))'=-(1/cos²(1-5x²))*(1-5x²)'=
=-(1/cos²(1-5x²))*(-10*x)=10x/(cos²(1-5x²))=10x*sec²(1-5x²).