1) y=6√x-x^(-2) +5
y'=6/2√x+2/x^(-3) = 3/√x + 2/x^(-3)
2)y'=[ (4x-3)*x-(2x^2-3x+1) *1 ] / x^2 = [ 4x^2-3x-2x^2+3x-1 ] /x^2 =
=[ 2x^2 -1]/x^2
3)y=x^(3/2) / 3x^(3/4)= 1/3 * x^(3/2-3/4) =1/3 * x^(3/4) = 1/3*3/4*x^(3/4-1) =
=1/4* x^(-1/4)= 1/4
4)y=(4^x -1)/tgx
y'=[ 4ˣ ln4 tgx - (4ˣ-1) * 1/cos²x ] /tg²x