1) (−7⋅ln(x))′=-7/х
2) (0,5⋅x⋅ln(x))′=0,5⋅ln(x)+0,5⋅x/x=0.5*ln(x)+0.5
3) (x^(−2)⋅ln(x))′=−2⋅x^(−3)⋅ln(x)+x^(-2)/x=-2/(x^3)*ln(x)+1/(x)^3
4) ((-3x+4)*lg(x))'=-3*lg(x)+(-3x+4)*1/xln10
5) (x+5−ln(x))′=1−1/x
6) (ln(5⋅x))′=5/5⋅x=1/x
7) (ln(1,3⋅x2+3))′=(1,3⋅x2+3)′/(1,3⋅x2+3)=2,6⋅x/(1,3⋅x2+3)