Question

Найти производную функции (1+sin(2x))^2 по x.

Answer 1

((1+sin(2x))^2)'=2(1+sin(2x))'(1+sin(2x))=2((sin(2x))'+1'(1+sin(2x))=2cos(2x)(2x)'(1+sin(2x))=4cos(2x)(1+sin(2x))(x)'=4cos(2x)(1+sin(2x))

Answer 2

((1+sin(2x))^2)'=4cos(2x)(1+sin(2x))