(u*v)`=u`·v+u·v`
u=(5x+3)³
u`=3·(5x+3)²·(5x+3)`=3·(5x+3)²·5=15·(5x+3)²
v=(2x-1)⁴
v`=4·(2x-1)³·(2x-1)`=4·(2x-1)³·2=8·(2x-1)³
((5x+3)³·(2x-1)⁴)=((5x+3)³)`·(2x-1)⁴+(5x+3)³·((2x-1)⁴)`=
=15·(5x+3)²·(2x-1)⁴+(5x+3)³·8·(2x-1)³=
=(5x+3)²·(2x-1)³·(15·(2x-1)+8·(5x+3))=
=(5x+3)²·(2x-1)³·(30x-15+40x+24)=
=(5x+3)²·(2x-1)³·(70x+9)
(u*v)`=u`·v+u·v`
u=(5x+3)³
u`=3·(5x+3)²·(5x+3)`=3·(5x+3)²·5=15·(5x+3)²
v=(2x-1)⁴
v`=4·(2x-1)³·(2x-1)`=4·(2x-1)³·2=8·(2x-1)³
((5x+3)³·(2x-1)⁴)=((5x+3)³)`·(2x-1)⁴+(5x+3)³·((2x-1)⁴)`=
=15·(5x+3)²·(2x-1)⁴+(5x+3)³·8·(2x-1)³=
=(5x+3)²·(2x-1)³·(15·(2x-1)+8·(5x+3))=
=(5x+3)²·(2x-1)³·(30x-15+40x+24)=
=(5x+3)²·(2x-1)³·(70x+9)