1) -3√x-(1-3x) * (1/ 2√x) -6x-1+3x -3x-1
...f¹(x)= ----------------------------- = -------------- = ---------------
x 2x√x 2√x³
2) 4x(3x-5) 8(6-5)
f¹(x)= --------------- + 3 * √(2x²+1) ; f¹(2)= ---------- +3√9=8/6 +9=4/3 +9=31/3
2√(2x²+1) 2√9
3) f¹(x)= (1/x)*sinx +lnx * (cosx) = sinx /x +lnx * cosx
4) f¹(x)=cos(6x³-7x) * (18x²-7) = (18x²-7) * cos(6x³-7x)
5) 4x-3 4x-3
f¹(x)= ---------- = ------------
2x²-3x x(2x-3)