= (производная arcsin x * (√1-x²)- arcsin x * производную (√1-x²)) / ( √1-x²)²= ((1/ √1-x² ) * ( √1-x²) - arcsin x * ((1/2√1-x² ) * производную (1-x²))) / (1-x²) =( 1- arcsin x * ((1/2√1-x² ) * (-2x))) / (1-x²) = ( 1- arcsin x * (- x/ √1-x²)) / (1-x²)=(1+ (x* arcsin x / √1-x²)) / (1-x²)= ( (√1-x² + x* arcsin x)/√1-x²) / (1-x²)= (√1-x² + x* arcsin x)/(1-x²)* (√1-x²)