Question

y=arccos корень x*3^sin^2x
найти y(штрих)

Answer 1

$y=arccos sqrt{3^{sin^2x}x } \ \ y'=- frac{2*3^{sin^2x}xcos(x)sin(x)ln3+3^{sin^2x}}{2 sqrt{3^{sin^2x}*x}* sqrt{1-3^{sin^2x}*x} } = frac{3^{sin^2x}(2xsin2x*ln3+1)}{2 sqrt{3^{sin^2x}*x}* sqrt{1-3^{sin^2x}*x} }$