Question

найти производную у=sin^3 5xcos^5 3x

Answer 1

$y`=3sin^25x*cos5x*5*cos^53x+sin^35x*5cos^43x*(-sin3x)*3=$$15sin^25xcos5xcos^53x-15sin^35xcos^43xsin3x=15sin^25xcos^43x(cos5x$$cos3x-sin5xsin3x)=15sin^25xcos^43xcos8x$