1)f'(x)=(x³+3)'(2x²+5)+(x³+3)(2x²+5)'=3x²(2x²+5)+4x(x³+3)=6x⁴+15x²+4x⁴+12x=10x⁴+15x²+12x
2)f'(x)=(x+x⁻¹)'=1+(-1)x⁻²=1-(1/x²)
3)f'(x)=2(x-1)x√x+(x-1)² * 3/2√x=2x²√x-2x√x+3/2x²√x-3x√x+3/2√x
4)f'(x)=12x³12x²+12x-12
5)f'(x)=(-2x⁻⁴)'=8/(⁵√x)
6)f'(x)= -6/(x²√x)
7)f'(x)= -3/(2x²√x)+5/(⁶√x)