Question

найдите производную функции y=(5x^2-2)^6

Answer 1

Y=(8x-15)^5
Y’=5*(8x-15)^4•(8x-15)’=40*•(8x-15)^4;

Y= (3-2x)^(1/2)
Y’= (1/2)•(3-2x)^(-1/2)• (3-2x)’=-1/(3-2x)^(-1/2);

Y=sin(4x+П/6)
Y’=cos(4x+П/6)•(4x+П/6)’= 4cos(4x+П/6);

Y=1/(1-3x)
Y”=- (1-3x)’/(1-3x)²=3/(1-3x)²